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Finding the Fourth Proportional to 738.04, 1,018.26 and 458.20

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Solution

The fourth proportional to 738.04, 1,018.26 and 458.20 is: 632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.04 : 1,018.26 = 458.20 : x
  2. Step 2: Convert to fraction form
    738.04/1,018.26 = 458.20/x
  3. Step 3: Cross multiply
    738.04x = 1,018.26 × 458.20
  4. Step 4: Simplify right side
    738.04x = 466,566.73
  5. Step 5: Solve for x
    x = 466,566.73/738.04
  6. Step 6: Final answer
    x = 632.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.