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Finding the Fourth Proportional to 566.49, 781.84 and 345.40

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Solution

The fourth proportional to 566.49, 781.84 and 345.40 is: 476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.49 : 781.84 = 345.40 : x
  2. Step 2: Convert to fraction form
    566.49/781.84 = 345.40/x
  3. Step 3: Cross multiply
    566.49x = 781.84 × 345.40
  4. Step 4: Simplify right side
    566.49x = 270,046.01
  5. Step 5: Solve for x
    x = 270,046.01/566.49
  6. Step 6: Final answer
    x = 476.70

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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.