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Finding the Fourth Proportional to 970.43, 1,455.66 and 354.59

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Solution

The fourth proportional to 970.43, 1,455.66 and 354.59 is: 531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.43 : 1,455.66 = 354.59 : x
  2. Step 2: Convert to fraction form
    970.43/1,455.66 = 354.59/x
  3. Step 3: Cross multiply
    970.43x = 1,455.66 × 354.59
  4. Step 4: Simplify right side
    970.43x = 516,162.48
  5. Step 5: Solve for x
    x = 516,162.48/970.43
  6. Step 6: Final answer
    x = 531.89

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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.