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Finding the Fourth Proportional to 880.36, 1,319.71 and 302.83

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Solution

The fourth proportional to 880.36, 1,319.71 and 302.83 is: 453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.36 : 1,319.71 = 302.83 : x
  2. Step 2: Convert to fraction form
    880.36/1,319.71 = 302.83/x
  3. Step 3: Cross multiply
    880.36x = 1,319.71 × 302.83
  4. Step 4: Simplify right side
    880.36x = 399,646.27
  5. Step 5: Solve for x
    x = 399,646.27/880.36
  6. Step 6: Final answer
    x = 453.96

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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.