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Finding the Fourth Proportional to 586.80, 880.12 and 262.16

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Solution

The fourth proportional to 586.80, 880.12 and 262.16 is: 393.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.80 : 880.12 = 262.16 : x
  2. Step 2: Convert to fraction form
    586.80/880.12 = 262.16/x
  3. Step 3: Cross multiply
    586.80x = 880.12 × 262.16
  4. Step 4: Simplify right side
    586.80x = 230,732.26
  5. Step 5: Solve for x
    x = 230,732.26/586.80
  6. Step 6: Final answer
    x = 393.20

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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.