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Finding the Fourth Proportional to 583.86, 869.46 and 582.24

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Solution

The fourth proportional to 583.86, 869.46 and 582.24 is: 867.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.86 : 869.46 = 582.24 : x
  2. Step 2: Convert to fraction form
    583.86/869.46 = 582.24/x
  3. Step 3: Cross multiply
    583.86x = 869.46 × 582.24
  4. Step 4: Simplify right side
    583.86x = 506,234.39
  5. Step 5: Solve for x
    x = 506,234.39/583.86
  6. Step 6: Final answer
    x = 867.05

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Double scale
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1.5x scale

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.