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Finding the Fourth Proportional to 582.38, 869.25 and 541.74

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Solution

The fourth proportional to 582.38, 869.25 and 541.74 is: 808.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.38 : 869.25 = 541.74 : x
  2. Step 2: Convert to fraction form
    582.38/869.25 = 541.74/x
  3. Step 3: Cross multiply
    582.38x = 869.25 × 541.74
  4. Step 4: Simplify right side
    582.38x = 470,907.50
  5. Step 5: Solve for x
    x = 470,907.50/582.38
  6. Step 6: Final answer
    x = 808.60

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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.