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Finding the Fourth Proportional to 644.16, 890.08 and 514.24

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Solution

The fourth proportional to 644.16, 890.08 and 514.24 is: 710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.16 : 890.08 = 514.24 : x
  2. Step 2: Convert to fraction form
    644.16/890.08 = 514.24/x
  3. Step 3: Cross multiply
    644.16x = 890.08 × 514.24
  4. Step 4: Simplify right side
    644.16x = 457,714.74
  5. Step 5: Solve for x
    x = 457,714.74/644.16
  6. Step 6: Final answer
    x = 710.56

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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.