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Finding the Fourth Proportional to 935.74, 1,403.61 and 286.48

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Solution

The fourth proportional to 935.74, 1,403.61 and 286.48 is: 429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.74 : 1,403.61 = 286.48 : x
  2. Step 2: Convert to fraction form
    935.74/1,403.61 = 286.48/x
  3. Step 3: Cross multiply
    935.74x = 1,403.61 × 286.48
  4. Step 4: Simplify right side
    935.74x = 402,106.19
  5. Step 5: Solve for x
    x = 402,106.19/935.74
  6. Step 6: Final answer
    x = 429.72

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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.