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Finding the Fourth Proportional to 651.16, 898.12 and 476.56

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Solution

The fourth proportional to 651.16, 898.12 and 476.56 is: 657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.16 : 898.12 = 476.56 : x
  2. Step 2: Convert to fraction form
    651.16/898.12 = 476.56/x
  3. Step 3: Cross multiply
    651.16x = 898.12 × 476.56
  4. Step 4: Simplify right side
    651.16x = 428,008.07
  5. Step 5: Solve for x
    x = 428,008.07/651.16
  6. Step 6: Final answer
    x = 657.30

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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.