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Finding the Fourth Proportional to 587.93, 880.69 and 278.84

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Solution

The fourth proportional to 587.93, 880.69 and 278.84 is: 417.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.93 : 880.69 = 278.84 : x
  2. Step 2: Convert to fraction form
    587.93/880.69 = 278.84/x
  3. Step 3: Cross multiply
    587.93x = 880.69 × 278.84
  4. Step 4: Simplify right side
    587.93x = 245,573.63
  5. Step 5: Solve for x
    x = 245,573.63/587.93
  6. Step 6: Final answer
    x = 417.70

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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.