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Finding the Fourth Proportional to 535.13, 738.48 and 425.37

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Solution

The fourth proportional to 535.13, 738.48 and 425.37 is: 587.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.13 : 738.48 = 425.37 : x
  2. Step 2: Convert to fraction form
    535.13/738.48 = 425.37/x
  3. Step 3: Cross multiply
    535.13x = 738.48 × 425.37
  4. Step 4: Simplify right side
    535.13x = 314,127.24
  5. Step 5: Solve for x
    x = 314,127.24/535.13
  6. Step 6: Final answer
    x = 587.01

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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.