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Finding the Fourth Proportional to 689.55, 951.43 and 437.56

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Solution

The fourth proportional to 689.55, 951.43 and 437.56 is: 603.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.55 : 951.43 = 437.56 : x
  2. Step 2: Convert to fraction form
    689.55/951.43 = 437.56/x
  3. Step 3: Cross multiply
    689.55x = 951.43 × 437.56
  4. Step 4: Simplify right side
    689.55x = 416,307.71
  5. Step 5: Solve for x
    x = 416,307.71/689.55
  6. Step 6: Final answer
    x = 603.74

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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.