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Finding the Fourth Proportional to 924.81, 1,387.43 and 339.85

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Solution

The fourth proportional to 924.81, 1,387.43 and 339.85 is: 509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.81 : 1,387.43 = 339.85 : x
  2. Step 2: Convert to fraction form
    924.81/1,387.43 = 339.85/x
  3. Step 3: Cross multiply
    924.81x = 1,387.43 × 339.85
  4. Step 4: Simplify right side
    924.81x = 471,518.09
  5. Step 5: Solve for x
    x = 471,518.09/924.81
  6. Step 6: Final answer
    x = 509.85

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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.