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Finding the Fourth Proportional to 651.32, 898.74 and 382.16

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Solution

The fourth proportional to 651.32, 898.74 and 382.16 is: 527.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.32 : 898.74 = 382.16 : x
  2. Step 2: Convert to fraction form
    651.32/898.74 = 382.16/x
  3. Step 3: Cross multiply
    651.32x = 898.74 × 382.16
  4. Step 4: Simplify right side
    651.32x = 343,462.48
  5. Step 5: Solve for x
    x = 343,462.48/651.32
  6. Step 6: Final answer
    x = 527.33

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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.