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Finding the Fourth Proportional to 935.28, 1,403.07 and 472.95

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Solution

The fourth proportional to 935.28, 1,403.07 and 472.95 is: 709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.28 : 1,403.07 = 472.95 : x
  2. Step 2: Convert to fraction form
    935.28/1,403.07 = 472.95/x
  3. Step 3: Cross multiply
    935.28x = 1,403.07 × 472.95
  4. Step 4: Simplify right side
    935.28x = 663,581.96
  5. Step 5: Solve for x
    x = 663,581.96/935.28
  6. Step 6: Final answer
    x = 709.50

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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.