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Finding the Fourth Proportional to 586.46, 880.13 and 261.86

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Solution

The fourth proportional to 586.46, 880.13 and 261.86 is: 392.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.46 : 880.13 = 261.86 : x
  2. Step 2: Convert to fraction form
    586.46/880.13 = 261.86/x
  3. Step 3: Cross multiply
    586.46x = 880.13 × 261.86
  4. Step 4: Simplify right side
    586.46x = 230,467.10
  5. Step 5: Solve for x
    x = 230,467.10/586.46
  6. Step 6: Final answer
    x = 392.98

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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.