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Finding the Fourth Proportional to 586.76, 880.20 and 278.54

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Solution

The fourth proportional to 586.76, 880.20 and 278.54 is: 417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.76 : 880.20 = 278.54 : x
  2. Step 2: Convert to fraction form
    586.76/880.20 = 278.54/x
  3. Step 3: Cross multiply
    586.76x = 880.20 × 278.54
  4. Step 4: Simplify right side
    586.76x = 245,169.81
  5. Step 5: Solve for x
    x = 245,169.81/586.76
  6. Step 6: Final answer
    x = 417.84

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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.