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Finding the Fourth Proportional to 718.65, 991.70 and 424.01

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Solution

The fourth proportional to 718.65, 991.70 and 424.01 is: 585.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.65 : 991.70 = 424.01 : x
  2. Step 2: Convert to fraction form
    718.65/991.70 = 424.01/x
  3. Step 3: Cross multiply
    718.65x = 991.70 × 424.01
  4. Step 4: Simplify right side
    718.65x = 420,490.72
  5. Step 5: Solve for x
    x = 420,490.72/718.65
  6. Step 6: Final answer
    x = 585.11

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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.