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Finding the Fourth Proportional to 718.50, 991.54 and 408

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Solution

The fourth proportional to 718.50, 991.54 and 408 is: 563.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.50 : 991.54 = 408 : x
  2. Step 2: Convert to fraction form
    718.50/991.54 = 408/x
  3. Step 3: Cross multiply
    718.50x = 991.54 × 408
  4. Step 4: Simplify right side
    718.50x = 404,548.32
  5. Step 5: Solve for x
    x = 404,548.32/718.50
  6. Step 6: Final answer
    x = 563.05

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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.