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Finding the Fourth Proportional to 562.60, 842.82 and 465.10

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Solution

The fourth proportional to 562.60, 842.82 and 465.10 is: 696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.60 : 842.82 = 465.10 : x
  2. Step 2: Convert to fraction form
    562.60/842.82 = 465.10/x
  3. Step 3: Cross multiply
    562.60x = 842.82 × 465.10
  4. Step 4: Simplify right side
    562.60x = 391,995.58
  5. Step 5: Solve for x
    x = 391,995.58/562.60
  6. Step 6: Final answer
    x = 696.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.