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Finding the Fourth Proportional to 587.25, 880.67 and 340.50

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Solution

The fourth proportional to 587.25, 880.67 and 340.50 is: 510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.25 : 880.67 = 340.50 : x
  2. Step 2: Convert to fraction form
    587.25/880.67 = 340.50/x
  3. Step 3: Cross multiply
    587.25x = 880.67 × 340.50
  4. Step 4: Simplify right side
    587.25x = 299,872.29
  5. Step 5: Solve for x
    x = 299,872.29/587.25
  6. Step 6: Final answer
    x = 510.64

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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.