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Finding the Fourth Proportional to 972.28, 1,458.54 and 355.82

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Solution

The fourth proportional to 972.28, 1,458.54 and 355.82 is: 533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.28 : 1,458.54 = 355.82 : x
  2. Step 2: Convert to fraction form
    972.28/1,458.54 = 355.82/x
  3. Step 3: Cross multiply
    972.28x = 1,458.54 × 355.82
  4. Step 4: Simplify right side
    972.28x = 518,981.35
  5. Step 5: Solve for x
    x = 518,981.35/972.28
  6. Step 6: Final answer
    x = 533.78

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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.