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Finding the Fourth Proportional to 625.15, 862.76 and 414.95

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Solution

The fourth proportional to 625.15, 862.76 and 414.95 is: 572.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.15 : 862.76 = 414.95 : x
  2. Step 2: Convert to fraction form
    625.15/862.76 = 414.95/x
  3. Step 3: Cross multiply
    625.15x = 862.76 × 414.95
  4. Step 4: Simplify right side
    625.15x = 358,000.19
  5. Step 5: Solve for x
    x = 358,000.19/625.15
  6. Step 6: Final answer
    x = 572.67

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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.