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Finding the Fourth Proportional to 509.72, 703.36 and 313.32

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Solution

The fourth proportional to 509.72, 703.36 and 313.32 is: 432.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.72 : 703.36 = 313.32 : x
  2. Step 2: Convert to fraction form
    509.72/703.36 = 313.32/x
  3. Step 3: Cross multiply
    509.72x = 703.36 × 313.32
  4. Step 4: Simplify right side
    509.72x = 220,376.76
  5. Step 5: Solve for x
    x = 220,376.76/509.72
  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.