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Finding the Fourth Proportional to 507.62, 756.33 and 474.50

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Solution

The fourth proportional to 507.62, 756.33 and 474.50 is: 706.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.62 : 756.33 = 474.50 : x
  2. Step 2: Convert to fraction form
    507.62/756.33 = 474.50/x
  3. Step 3: Cross multiply
    507.62x = 756.33 × 474.50
  4. Step 4: Simplify right side
    507.62x = 358,876.21
  5. Step 5: Solve for x
    x = 358,876.21/507.62
  6. Step 6: Final answer
    x = 706.98

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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.