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Finding the Fourth Proportional to 582.77, 873.05 and 362.75

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Solution

The fourth proportional to 582.77, 873.05 and 362.75 is: 543.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.77 : 873.05 = 362.75 : x
  2. Step 2: Convert to fraction form
    582.77/873.05 = 362.75/x
  3. Step 3: Cross multiply
    582.77x = 873.05 × 362.75
  4. Step 4: Simplify right side
    582.77x = 316,692.71
  5. Step 5: Solve for x
    x = 316,692.71/582.77
  6. Step 6: Final answer
    x = 543.42

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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.