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Finding the Fourth Proportional to 587.64, 880.35 and 222.18

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Solution

The fourth proportional to 587.64, 880.35 and 222.18 is: 332.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.64 : 880.35 = 222.18 : x
  2. Step 2: Convert to fraction form
    587.64/880.35 = 222.18/x
  3. Step 3: Cross multiply
    587.64x = 880.35 × 222.18
  4. Step 4: Simplify right side
    587.64x = 195,596.16
  5. Step 5: Solve for x
    x = 195,596.16/587.64
  6. Step 6: Final answer
    x = 332.85

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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.