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Finding the Fourth Proportional to 970.99, 1,456.48 and 354.74

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Solution

The fourth proportional to 970.99, 1,456.48 and 354.74 is: 532.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.99 : 1,456.48 = 354.74 : x
  2. Step 2: Convert to fraction form
    970.99/1,456.48 = 354.74/x
  3. Step 3: Cross multiply
    970.99x = 1,456.48 × 354.74
  4. Step 4: Simplify right side
    970.99x = 516,670.34
  5. Step 5: Solve for x
    x = 516,670.34/970.99
  6. Step 6: Final answer
    x = 532.11

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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.