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Finding the Fourth Proportional to 509.65, 703.35 and 288.62

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Solution

The fourth proportional to 509.65, 703.35 and 288.62 is: 398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.65 : 703.35 = 288.62 : x
  2. Step 2: Convert to fraction form
    509.65/703.35 = 288.62/x
  3. Step 3: Cross multiply
    509.65x = 703.35 × 288.62
  4. Step 4: Simplify right side
    509.65x = 202,999.43
  5. Step 5: Solve for x
    x = 202,999.43/509.65
  6. Step 6: Final answer
    x = 398.32

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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.