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Finding the Fourth Proportional to 704.93, 972.59 and 410.13

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Solution

The fourth proportional to 704.93, 972.59 and 410.13 is: 565.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.93 : 972.59 = 410.13 : x
  2. Step 2: Convert to fraction form
    704.93/972.59 = 410.13/x
  3. Step 3: Cross multiply
    704.93x = 972.59 × 410.13
  4. Step 4: Simplify right side
    704.93x = 398,886.29
  5. Step 5: Solve for x
    x = 398,886.29/704.93
  6. Step 6: Final answer
    x = 565.86

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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.