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Finding the Fourth Proportional to 369.52, 510.20 and 296.24

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Solution

The fourth proportional to 369.52, 510.20 and 296.24 is: 409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.52 : 510.20 = 296.24 : x
  2. Step 2: Convert to fraction form
    369.52/510.20 = 296.24/x
  3. Step 3: Cross multiply
    369.52x = 510.20 × 296.24
  4. Step 4: Simplify right side
    369.52x = 151,141.65
  5. Step 5: Solve for x
    x = 151,141.65/369.52
  6. Step 6: Final answer
    x = 409.02

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