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Finding the Fourth Proportional to 566.93, 782.33 and 345.90

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Solution

The fourth proportional to 566.93, 782.33 and 345.90 is: 477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.93 : 782.33 = 345.90 : x
  2. Step 2: Convert to fraction form
    566.93/782.33 = 345.90/x
  3. Step 3: Cross multiply
    566.93x = 782.33 × 345.90
  4. Step 4: Simplify right side
    566.93x = 270,606.22
  5. Step 5: Solve for x
    x = 270,606.22/566.93
  6. Step 6: Final answer
    x = 477.32

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Double scale
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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.