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Finding the Fourth Proportional to 509.64, 703.32 and 288.55

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Solution

The fourth proportional to 509.64, 703.32 and 288.55 is: 398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.64 : 703.32 = 288.55 : x
  2. Step 2: Convert to fraction form
    509.64/703.32 = 288.55/x
  3. Step 3: Cross multiply
    509.64x = 703.32 × 288.55
  4. Step 4: Simplify right side
    509.64x = 202,938.03
  5. Step 5: Solve for x
    x = 202,938.03/509.64
  6. Step 6: Final answer
    x = 398.20

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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.