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Finding the Fourth Proportional to 509.04, 701.34 and 398.52

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Solution

The fourth proportional to 509.04, 701.34 and 398.52 is: 549.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.04 : 701.34 = 398.52 : x
  2. Step 2: Convert to fraction form
    509.04/701.34 = 398.52/x
  3. Step 3: Cross multiply
    509.04x = 701.34 × 398.52
  4. Step 4: Simplify right side
    509.04x = 279,498.02
  5. Step 5: Solve for x
    x = 279,498.02/509.04
  6. Step 6: Final answer
    x = 549.07

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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.