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Finding the Fourth Proportional to 582.81, 874.41 and 258.18

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Solution

The fourth proportional to 582.81, 874.41 and 258.18 is: 387.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.81 : 874.41 = 258.18 : x
  2. Step 2: Convert to fraction form
    582.81/874.41 = 258.18/x
  3. Step 3: Cross multiply
    582.81x = 874.41 × 258.18
  4. Step 4: Simplify right side
    582.81x = 225,755.17
  5. Step 5: Solve for x
    x = 225,755.17/582.81
  6. Step 6: Final answer
    x = 387.36

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1.5x scale

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.