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Finding the Fourth Proportional to 527.65, 790.64 and 353.68

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Solution

The fourth proportional to 527.65, 790.64 and 353.68 is: 529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.65 : 790.64 = 353.68 : x
  2. Step 2: Convert to fraction form
    527.65/790.64 = 353.68/x
  3. Step 3: Cross multiply
    527.65x = 790.64 × 353.68
  4. Step 4: Simplify right side
    527.65x = 279,630.25
  5. Step 5: Solve for x
    x = 279,630.25/527.65
  6. Step 6: Final answer
    x = 529.95

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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.