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Finding the Fourth Proportional to 527.12, 788.80 and 334.88

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Solution

The fourth proportional to 527.12, 788.80 and 334.88 is: 501.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.12 : 788.80 = 334.88 : x
  2. Step 2: Convert to fraction form
    527.12/788.80 = 334.88/x
  3. Step 3: Cross multiply
    527.12x = 788.80 × 334.88
  4. Step 4: Simplify right side
    527.12x = 264,153.34
  5. Step 5: Solve for x
    x = 264,153.34/527.12
  6. Step 6: Final answer
    x = 501.13

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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.