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Finding the Fourth Proportional to 527, 728.14 and 370.22

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Solution

The fourth proportional to 527, 728.14 and 370.22 is: 511.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    527 : 728.14 = 370.22 : x
  2. Step 2: Convert to fraction form
    527/728.14 = 370.22/x
  3. Step 3: Cross multiply
    527x = 728.14 × 370.22
  4. Step 4: Simplify right side
    527x = 269,571.99
  5. Step 5: Solve for x
    x = 269,571.99/527
  6. Step 6: Final answer
    x = 511.52

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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.