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Finding the Fourth Proportional to 588.24, 811.53 and 411.15

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Solution

The fourth proportional to 588.24, 811.53 and 411.15 is: 567.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.24 : 811.53 = 411.15 : x
  2. Step 2: Convert to fraction form
    588.24/811.53 = 411.15/x
  3. Step 3: Cross multiply
    588.24x = 811.53 × 411.15
  4. Step 4: Simplify right side
    588.24x = 333,656.50
  5. Step 5: Solve for x
    x = 333,656.50/588.24
  6. Step 6: Final answer
    x = 567.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.