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Finding the Fourth Proportional to 500.30, 750.46 and 207.76

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Solution

The fourth proportional to 500.30, 750.46 and 207.76 is: 311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.30 : 750.46 = 207.76 : x
  2. Step 2: Convert to fraction form
    500.30/750.46 = 207.76/x
  3. Step 3: Cross multiply
    500.30x = 750.46 × 207.76
  4. Step 4: Simplify right side
    500.30x = 155,913.17
  5. Step 5: Solve for x
    x = 155,913.17/500.30
  6. Step 6: Final answer
    x = 311.64

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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.