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Finding the Fourth Proportional to 582.16, 867.44 and 576.58

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Solution

The fourth proportional to 582.16, 867.44 and 576.58 is: 859.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.16 : 867.44 = 576.58 : x
  2. Step 2: Convert to fraction form
    582.16/867.44 = 576.58/x
  3. Step 3: Cross multiply
    582.16x = 867.44 × 576.58
  4. Step 4: Simplify right side
    582.16x = 500,148.56
  5. Step 5: Solve for x
    x = 500,148.56/582.16
  6. Step 6: Final answer
    x = 859.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.