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Finding the Fourth Proportional to 651, 898.65 and 464.52

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Solution

The fourth proportional to 651, 898.65 and 464.52 is: 641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    651 : 898.65 = 464.52 : x
  2. Step 2: Convert to fraction form
    651/898.65 = 464.52/x
  3. Step 3: Cross multiply
    651x = 898.65 × 464.52
  4. Step 4: Simplify right side
    651x = 417,440.90
  5. Step 5: Solve for x
    x = 417,440.90/651
  6. Step 6: Final answer
    x = 641.23

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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.