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Finding the Fourth Proportional to 507.98, 756.35 and 477.92

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Solution

The fourth proportional to 507.98, 756.35 and 477.92 is: 711.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.98 : 756.35 = 477.92 : x
  2. Step 2: Convert to fraction form
    507.98/756.35 = 477.92/x
  3. Step 3: Cross multiply
    507.98x = 756.35 × 477.92
  4. Step 4: Simplify right side
    507.98x = 361,468.62
  5. Step 5: Solve for x
    x = 361,468.62/507.98
  6. Step 6: Final answer
    x = 711.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.