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Finding the Fourth Proportional to 527.95, 728.67 and 307.03

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Solution

The fourth proportional to 527.95, 728.67 and 307.03 is: 423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.95 : 728.67 = 307.03 : x
  2. Step 2: Convert to fraction form
    527.95/728.67 = 307.03/x
  3. Step 3: Cross multiply
    527.95x = 728.67 × 307.03
  4. Step 4: Simplify right side
    527.95x = 223,722.01
  5. Step 5: Solve for x
    x = 223,722.01/527.95
  6. Step 6: Final answer
    x = 423.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.