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Finding the Fourth Proportional to 738.02, 1,018.43 and 406.44

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Solution

The fourth proportional to 738.02, 1,018.43 and 406.44 is: 560.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.02 : 1,018.43 = 406.44 : x
  2. Step 2: Convert to fraction form
    738.02/1,018.43 = 406.44/x
  3. Step 3: Cross multiply
    738.02x = 1,018.43 × 406.44
  4. Step 4: Simplify right side
    738.02x = 413,931.71
  5. Step 5: Solve for x
    x = 413,931.71/738.02
  6. Step 6: Final answer
    x = 560.87

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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.