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Finding the Fourth Proportional to 972.24, 1,458.30 and 355.83

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Solution

The fourth proportional to 972.24, 1,458.30 and 355.83 is: 533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.24 : 1,458.30 = 355.83 : x
  2. Step 2: Convert to fraction form
    972.24/1,458.30 = 355.83/x
  3. Step 3: Cross multiply
    972.24x = 1,458.30 × 355.83
  4. Step 4: Simplify right side
    972.24x = 518,906.89
  5. Step 5: Solve for x
    x = 518,906.89/972.24
  6. Step 6: Final answer
    x = 533.72

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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.