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Finding the Fourth Proportional to 368.72, 510.88 and 362.24

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Solution

The fourth proportional to 368.72, 510.88 and 362.24 is: 501.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.72 : 510.88 = 362.24 : x
  2. Step 2: Convert to fraction form
    368.72/510.88 = 362.24/x
  3. Step 3: Cross multiply
    368.72x = 510.88 × 362.24
  4. Step 4: Simplify right side
    368.72x = 185,061.17
  5. Step 5: Solve for x
    x = 185,061.17/368.72
  6. Step 6: Final answer
    x = 501.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.