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Finding the Fourth Proportional to 566.42, 781.46 and 345.38

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Solution

The fourth proportional to 566.42, 781.46 and 345.38 is: 476.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.42 : 781.46 = 345.38 : x
  2. Step 2: Convert to fraction form
    566.42/781.46 = 345.38/x
  3. Step 3: Cross multiply
    566.42x = 781.46 × 345.38
  4. Step 4: Simplify right side
    566.42x = 269,900.65
  5. Step 5: Solve for x
    x = 269,900.65/566.42
  6. Step 6: Final answer
    x = 476.50

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.