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Finding the Fourth Proportional to 587.36, 880.98 and 176.49

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Solution

The fourth proportional to 587.36, 880.98 and 176.49 is: 264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.36 : 880.98 = 176.49 : x
  2. Step 2: Convert to fraction form
    587.36/880.98 = 176.49/x
  3. Step 3: Cross multiply
    587.36x = 880.98 × 176.49
  4. Step 4: Simplify right side
    587.36x = 155,484.16
  5. Step 5: Solve for x
    x = 155,484.16/587.36
  6. Step 6: Final answer
    x = 264.72

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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.