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Finding the Fourth Proportional to 509.80, 703.30 and 313.40

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Solution

The fourth proportional to 509.80, 703.30 and 313.40 is: 432.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.80 : 703.30 = 313.40 : x
  2. Step 2: Convert to fraction form
    509.80/703.30 = 313.40/x
  3. Step 3: Cross multiply
    509.80x = 703.30 × 313.40
  4. Step 4: Simplify right side
    509.80x = 220,414.22
  5. Step 5: Solve for x
    x = 220,414.22/509.80
  6. Step 6: Final answer
    x = 432.35

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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.