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Finding the Fourth Proportional to 738.16, 1,018.78 and 458.56

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Solution

The fourth proportional to 738.16, 1,018.78 and 458.56 is: 632.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.16 : 1,018.78 = 458.56 : x
  2. Step 2: Convert to fraction form
    738.16/1,018.78 = 458.56/x
  3. Step 3: Cross multiply
    738.16x = 1,018.78 × 458.56
  4. Step 4: Simplify right side
    738.16x = 467,171.76
  5. Step 5: Solve for x
    x = 467,171.76/738.16
  6. Step 6: Final answer
    x = 632.89

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