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Finding the Fourth Proportional to 972.12, 1,458.17 and 355.66

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Solution

The fourth proportional to 972.12, 1,458.17 and 355.66 is: 533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.12 : 1,458.17 = 355.66 : x
  2. Step 2: Convert to fraction form
    972.12/1,458.17 = 355.66/x
  3. Step 3: Cross multiply
    972.12x = 1,458.17 × 355.66
  4. Step 4: Simplify right side
    972.12x = 518,608.65
  5. Step 5: Solve for x
    x = 518,608.65/972.12
  6. Step 6: Final answer
    x = 533.48

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