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Finding the Fourth Proportional to 880.30, 1,319.52 and 417.86

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Solution

The fourth proportional to 880.30, 1,319.52 and 417.86 is: 626.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.30 : 1,319.52 = 417.86 : x
  2. Step 2: Convert to fraction form
    880.30/1,319.52 = 417.86/x
  3. Step 3: Cross multiply
    880.30x = 1,319.52 × 417.86
  4. Step 4: Simplify right side
    880.30x = 551,374.54
  5. Step 5: Solve for x
    x = 551,374.54/880.30
  6. Step 6: Final answer
    x = 626.35

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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.