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Finding the Fourth Proportional to 509.40, 703.17 and 334.80

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Solution

The fourth proportional to 509.40, 703.17 and 334.80 is: 462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.40 : 703.17 = 334.80 : x
  2. Step 2: Convert to fraction form
    509.40/703.17 = 334.80/x
  3. Step 3: Cross multiply
    509.40x = 703.17 × 334.80
  4. Step 4: Simplify right side
    509.40x = 235,421.32
  5. Step 5: Solve for x
    x = 235,421.32/509.40
  6. Step 6: Final answer
    x = 462.15

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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.