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Finding the Fourth Proportional to 562.82, 776.39 and 463.02

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Solution

The fourth proportional to 562.82, 776.39 and 463.02 is: 638.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.82 : 776.39 = 463.02 : x
  2. Step 2: Convert to fraction form
    562.82/776.39 = 463.02/x
  3. Step 3: Cross multiply
    562.82x = 776.39 × 463.02
  4. Step 4: Simplify right side
    562.82x = 359,478.87
  5. Step 5: Solve for x
    x = 359,478.87/562.82
  6. Step 6: Final answer
    x = 638.72

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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.