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Finding the Fourth Proportional to 562.24, 774 and 463.84

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Solution

The fourth proportional to 562.24, 774 and 463.84 is: 638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.24 : 774 = 463.84 : x
  2. Step 2: Convert to fraction form
    562.24/774 = 463.84/x
  3. Step 3: Cross multiply
    562.24x = 774 × 463.84
  4. Step 4: Simplify right side
    562.24x = 359,012.16
  5. Step 5: Solve for x
    x = 359,012.16/562.24
  6. Step 6: Final answer
    x = 638.54

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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.