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Finding the Fourth Proportional to 482.24, 665.24 and 370.13

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Solution

The fourth proportional to 482.24, 665.24 and 370.13 is: 510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.24 : 665.24 = 370.13 : x
  2. Step 2: Convert to fraction form
    482.24/665.24 = 370.13/x
  3. Step 3: Cross multiply
    482.24x = 665.24 × 370.13
  4. Step 4: Simplify right side
    482.24x = 246,220.10
  5. Step 5: Solve for x
    x = 246,220.10/482.24
  6. Step 6: Final answer
    x = 510.57

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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.