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Finding the Fourth Proportional to 509.47, 703.07 and 288.41

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Solution

The fourth proportional to 509.47, 703.07 and 288.41 is: 398.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.47 : 703.07 = 288.41 : x
  2. Step 2: Convert to fraction form
    509.47/703.07 = 288.41/x
  3. Step 3: Cross multiply
    509.47x = 703.07 × 288.41
  4. Step 4: Simplify right side
    509.47x = 202,772.42
  5. Step 5: Solve for x
    x = 202,772.42/509.47
  6. Step 6: Final answer
    x = 398.01

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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.