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Finding the Fourth Proportional to 500.06, 750.08 and 384.71

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Solution

The fourth proportional to 500.06, 750.08 and 384.71 is: 577.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.06 : 750.08 = 384.71 : x
  2. Step 2: Convert to fraction form
    500.06/750.08 = 384.71/x
  3. Step 3: Cross multiply
    500.06x = 750.08 × 384.71
  4. Step 4: Simplify right side
    500.06x = 288,559.53
  5. Step 5: Solve for x
    x = 288,559.53/500.06
  6. Step 6: Final answer
    x = 577.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.