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Finding the Fourth Proportional to 567.18, 846.32 and 476.06

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Solution

The fourth proportional to 567.18, 846.32 and 476.06 is: 710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.18 : 846.32 = 476.06 : x
  2. Step 2: Convert to fraction form
    567.18/846.32 = 476.06/x
  3. Step 3: Cross multiply
    567.18x = 846.32 × 476.06
  4. Step 4: Simplify right side
    567.18x = 402,892.49
  5. Step 5: Solve for x
    x = 402,892.49/567.18
  6. Step 6: Final answer
    x = 710.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.