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Finding the Fourth Proportional to 972.91, 1,457.61 and 356.23

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Solution

The fourth proportional to 972.91, 1,457.61 and 356.23 is: 533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.91 : 1,457.61 = 356.23 : x
  2. Step 2: Convert to fraction form
    972.91/1,457.61 = 356.23/x
  3. Step 3: Cross multiply
    972.91x = 1,457.61 × 356.23
  4. Step 4: Simplify right side
    972.91x = 519,244.41
  5. Step 5: Solve for x
    x = 519,244.41/972.91
  6. Step 6: Final answer
    x = 533.70

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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.