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Finding the Fourth Proportional to 878.65, 1,317.98 and 358.94

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Solution

The fourth proportional to 878.65, 1,317.98 and 358.94 is: 538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.65 : 1,317.98 = 358.94 : x
  2. Step 2: Convert to fraction form
    878.65/1,317.98 = 358.94/x
  3. Step 3: Cross multiply
    878.65x = 1,317.98 × 358.94
  4. Step 4: Simplify right side
    878.65x = 473,067.36
  5. Step 5: Solve for x
    x = 473,067.36/878.65
  6. Step 6: Final answer
    x = 538.40

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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.