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Finding the Fourth Proportional to 509.92, 703.71 and 313.40

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Solution

The fourth proportional to 509.92, 703.71 and 313.40 is: 432.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.92 : 703.71 = 313.40 : x
  2. Step 2: Convert to fraction form
    509.92/703.71 = 313.40/x
  3. Step 3: Cross multiply
    509.92x = 703.71 × 313.40
  4. Step 4: Simplify right side
    509.92x = 220,542.71
  5. Step 5: Solve for x
    x = 220,542.71/509.92
  6. Step 6: Final answer
    x = 432.50

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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.