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Finding the Fourth Proportional to 704.59, 972.16 and 455.52

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Solution

The fourth proportional to 704.59, 972.16 and 455.52 is: 628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.59 : 972.16 = 455.52 : x
  2. Step 2: Convert to fraction form
    704.59/972.16 = 455.52/x
  3. Step 3: Cross multiply
    704.59x = 972.16 × 455.52
  4. Step 4: Simplify right side
    704.59x = 442,838.32
  5. Step 5: Solve for x
    x = 442,838.32/704.59
  6. Step 6: Final answer
    x = 628.50

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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.