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Finding the Fourth Proportional to 972.17, 1,457.80 and 313.92

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Solution

The fourth proportional to 972.17, 1,457.80 and 313.92 is: 470.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.17 : 1,457.80 = 313.92 : x
  2. Step 2: Convert to fraction form
    972.17/1,457.80 = 313.92/x
  3. Step 3: Cross multiply
    972.17x = 1,457.80 × 313.92
  4. Step 4: Simplify right side
    972.17x = 457,632.58
  5. Step 5: Solve for x
    x = 457,632.58/972.17
  6. Step 6: Final answer
    x = 470.73

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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.