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Finding the Fourth Proportional to 718.29, 990.84 and 470.01

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Solution

The fourth proportional to 718.29, 990.84 and 470.01 is: 648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.29 : 990.84 = 470.01 : x
  2. Step 2: Convert to fraction form
    718.29/990.84 = 470.01/x
  3. Step 3: Cross multiply
    718.29x = 990.84 × 470.01
  4. Step 4: Simplify right side
    718.29x = 465,704.71
  5. Step 5: Solve for x
    x = 465,704.71/718.29
  6. Step 6: Final answer
    x = 648.35

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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.