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Finding the Fourth Proportional to 656.53, 907.32 and 538.32

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Solution

The fourth proportional to 656.53, 907.32 and 538.32 is: 743.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.53 : 907.32 = 538.32 : x
  2. Step 2: Convert to fraction form
    656.53/907.32 = 538.32/x
  3. Step 3: Cross multiply
    656.53x = 907.32 × 538.32
  4. Step 4: Simplify right side
    656.53x = 488,428.34
  5. Step 5: Solve for x
    x = 488,428.34/656.53
  6. Step 6: Final answer
    x = 743.95

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