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Finding the Fourth Proportional to 669.53, 924.12 and 471.35

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Solution

The fourth proportional to 669.53, 924.12 and 471.35 is: 650.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.53 : 924.12 = 471.35 : x
  2. Step 2: Convert to fraction form
    669.53/924.12 = 471.35/x
  3. Step 3: Cross multiply
    669.53x = 924.12 × 471.35
  4. Step 4: Simplify right side
    669.53x = 435,586.27
  5. Step 5: Solve for x
    x = 435,586.27/669.53
  6. Step 6: Final answer
    x = 650.58

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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.