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Finding the Fourth Proportional to 630.87, 946.53 and 265.62

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Solution

The fourth proportional to 630.87, 946.53 and 265.62 is: 398.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.87 : 946.53 = 265.62 : x
  2. Step 2: Convert to fraction form
    630.87/946.53 = 265.62/x
  3. Step 3: Cross multiply
    630.87x = 946.53 × 265.62
  4. Step 4: Simplify right side
    630.87x = 251,417.30
  5. Step 5: Solve for x
    x = 251,417.30/630.87
  6. Step 6: Final answer
    x = 398.52

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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.