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Finding the Fourth Proportional to 704.94, 972.72 and 410.16

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Solution

The fourth proportional to 704.94, 972.72 and 410.16 is: 565.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.94 : 972.72 = 410.16 : x
  2. Step 2: Convert to fraction form
    704.94/972.72 = 410.16/x
  3. Step 3: Cross multiply
    704.94x = 972.72 × 410.16
  4. Step 4: Simplify right side
    704.94x = 398,970.84
  5. Step 5: Solve for x
    x = 398,970.84/704.94
  6. Step 6: Final answer
    x = 565.96

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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.