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Finding the Fourth Proportional to 562.95, 777.33 and 465.30

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Solution

The fourth proportional to 562.95, 777.33 and 465.30 is: 642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.95 : 777.33 = 465.30 : x
  2. Step 2: Convert to fraction form
    562.95/777.33 = 465.30/x
  3. Step 3: Cross multiply
    562.95x = 777.33 × 465.30
  4. Step 4: Simplify right side
    562.95x = 361,691.65
  5. Step 5: Solve for x
    x = 361,691.65/562.95
  6. Step 6: Final answer
    x = 642.49

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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.