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Finding the Fourth Proportional to 587.36, 880.80 and 176.35

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Solution

The fourth proportional to 587.36, 880.80 and 176.35 is: 264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.36 : 880.80 = 176.35 : x
  2. Step 2: Convert to fraction form
    587.36/880.80 = 176.35/x
  3. Step 3: Cross multiply
    587.36x = 880.80 × 176.35
  4. Step 4: Simplify right side
    587.36x = 155,329.08
  5. Step 5: Solve for x
    x = 155,329.08/587.36
  6. Step 6: Final answer
    x = 264.45

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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.