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Finding the Fourth Proportional to 538.45, 743 and 302.35

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Solution

The fourth proportional to 538.45, 743 and 302.35 is: 417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.45 : 743 = 302.35 : x
  2. Step 2: Convert to fraction form
    538.45/743 = 302.35/x
  3. Step 3: Cross multiply
    538.45x = 743 × 302.35
  4. Step 4: Simplify right side
    538.45x = 224,646.05
  5. Step 5: Solve for x
    x = 224,646.05/538.45
  6. Step 6: Final answer
    x = 417.21

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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.