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Finding the Fourth Proportional to 586.98, 880.34 and 176.10

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Solution

The fourth proportional to 586.98, 880.34 and 176.10 is: 264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.98 : 880.34 = 176.10 : x
  2. Step 2: Convert to fraction form
    586.98/880.34 = 176.10/x
  3. Step 3: Cross multiply
    586.98x = 880.34 × 176.10
  4. Step 4: Simplify right side
    586.98x = 155,027.87
  5. Step 5: Solve for x
    x = 155,027.87/586.98
  6. Step 6: Final answer
    x = 264.11

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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.