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Finding the Fourth Proportional to 509.68, 703.08 and 313.12

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Solution

The fourth proportional to 509.68, 703.08 and 313.12 is: 431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.68 : 703.08 = 313.12 : x
  2. Step 2: Convert to fraction form
    509.68/703.08 = 313.12/x
  3. Step 3: Cross multiply
    509.68x = 703.08 × 313.12
  4. Step 4: Simplify right side
    509.68x = 220,148.41
  5. Step 5: Solve for x
    x = 220,148.41/509.68
  6. Step 6: Final answer
    x = 431.93

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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.