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Finding the Fourth Proportional to 508.61, 701.00 and 414.75

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Solution

The fourth proportional to 508.61, 701.00 and 414.75 is: 571.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.61 : 701.00 = 414.75 : x
  2. Step 2: Convert to fraction form
    508.61/701.00 = 414.75/x
  3. Step 3: Cross multiply
    508.61x = 701.00 × 414.75
  4. Step 4: Simplify right side
    508.61x = 290,737.68
  5. Step 5: Solve for x
    x = 290,737.68/508.61
  6. Step 6: Final answer
    x = 571.64

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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.