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Finding the Fourth Proportional to 738.01, 1,018.40 and 406.39

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Solution

The fourth proportional to 738.01, 1,018.40 and 406.39 is: 560.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.01 : 1,018.40 = 406.39 : x
  2. Step 2: Convert to fraction form
    738.01/1,018.40 = 406.39/x
  3. Step 3: Cross multiply
    738.01x = 1,018.40 × 406.39
  4. Step 4: Simplify right side
    738.01x = 413,868.91
  5. Step 5: Solve for x
    x = 413,868.91/738.01
  6. Step 6: Final answer
    x = 560.79

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1.5x scale

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.