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Finding the Fourth Proportional to 538.61, 743.28 and 302.53

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Solution

The fourth proportional to 538.61, 743.28 and 302.53 is: 417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.61 : 743.28 = 302.53 : x
  2. Step 2: Convert to fraction form
    538.61/743.28 = 302.53/x
  3. Step 3: Cross multiply
    538.61x = 743.28 × 302.53
  4. Step 4: Simplify right side
    538.61x = 224,864.99
  5. Step 5: Solve for x
    x = 224,864.99/538.61
  6. Step 6: Final answer
    x = 417.50

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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.