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Finding the Fourth Proportional to 587.41, 880.29 and 456.81

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Solution

The fourth proportional to 587.41, 880.29 and 456.81 is: 684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.41 : 880.29 = 456.81 : x
  2. Step 2: Convert to fraction form
    587.41/880.29 = 456.81/x
  3. Step 3: Cross multiply
    587.41x = 880.29 × 456.81
  4. Step 4: Simplify right side
    587.41x = 402,125.27
  5. Step 5: Solve for x
    x = 402,125.27/587.41
  6. Step 6: Final answer
    x = 684.57

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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.