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Finding the Fourth Proportional to 647.32, 970.61 and 442.14

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Solution

The fourth proportional to 647.32, 970.61 and 442.14 is: 662.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.32 : 970.61 = 442.14 : x
  2. Step 2: Convert to fraction form
    647.32/970.61 = 442.14/x
  3. Step 3: Cross multiply
    647.32x = 970.61 × 442.14
  4. Step 4: Simplify right side
    647.32x = 429,139.65
  5. Step 5: Solve for x
    x = 429,139.65/647.32
  6. Step 6: Final answer
    x = 662.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.