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Finding the Fourth Proportional to 651.74, 898.10 and 464.70

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Solution

The fourth proportional to 651.74, 898.10 and 464.70 is: 640.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.74 : 898.10 = 464.70 : x
  2. Step 2: Convert to fraction form
    651.74/898.10 = 464.70/x
  3. Step 3: Cross multiply
    651.74x = 898.10 × 464.70
  4. Step 4: Simplify right side
    651.74x = 417,347.07
  5. Step 5: Solve for x
    x = 417,347.07/651.74
  6. Step 6: Final answer
    x = 640.36

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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.