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Finding the Fourth Proportional to 527.37, 790.59 and 283.62

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Solution

The fourth proportional to 527.37, 790.59 and 283.62 is: 425.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.37 : 790.59 = 283.62 : x
  2. Step 2: Convert to fraction form
    527.37/790.59 = 283.62/x
  3. Step 3: Cross multiply
    527.37x = 790.59 × 283.62
  4. Step 4: Simplify right side
    527.37x = 224,227.14
  5. Step 5: Solve for x
    x = 224,227.14/527.37
  6. Step 6: Final answer
    x = 425.18

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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.