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Finding the Fourth Proportional to 527.19, 790.82 and 424.01

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Solution

The fourth proportional to 527.19, 790.82 and 424.01 is: 636.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.19 : 790.82 = 424.01 : x
  2. Step 2: Convert to fraction form
    527.19/790.82 = 424.01/x
  3. Step 3: Cross multiply
    527.19x = 790.82 × 424.01
  4. Step 4: Simplify right side
    527.19x = 335,309.51
  5. Step 5: Solve for x
    x = 335,309.51/527.19
  6. Step 6: Final answer
    x = 636.03

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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.