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Finding the Fourth Proportional to 369.24, 510.24 and 282.52

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Solution

The fourth proportional to 369.24, 510.24 and 282.52 is: 390.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.24 : 510.24 = 282.52 : x
  2. Step 2: Convert to fraction form
    369.24/510.24 = 282.52/x
  3. Step 3: Cross multiply
    369.24x = 510.24 × 282.52
  4. Step 4: Simplify right side
    369.24x = 144,153.00
  5. Step 5: Solve for x
    x = 144,153.00/369.24
  6. Step 6: Final answer
    x = 390.40

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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.