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Finding the Fourth Proportional to 567.90, 855.03 and 471.24

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Solution

The fourth proportional to 567.90, 855.03 and 471.24 is: 709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.90 : 855.03 = 471.24 : x
  2. Step 2: Convert to fraction form
    567.90/855.03 = 471.24/x
  3. Step 3: Cross multiply
    567.90x = 855.03 × 471.24
  4. Step 4: Simplify right side
    567.90x = 402,924.34
  5. Step 5: Solve for x
    x = 402,924.34/567.90
  6. Step 6: Final answer
    x = 709.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.