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Finding the Fourth Proportional to 587.02, 880.53 and 176.14

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Solution

The fourth proportional to 587.02, 880.53 and 176.14 is: 264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.02 : 880.53 = 176.14 : x
  2. Step 2: Convert to fraction form
    587.02/880.53 = 176.14/x
  3. Step 3: Cross multiply
    587.02x = 880.53 × 176.14
  4. Step 4: Simplify right side
    587.02x = 155,096.99
  5. Step 5: Solve for x
    x = 155,096.99/587.02
  6. Step 6: Final answer
    x = 264.21

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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.