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Finding the Fourth Proportional to 369.27, 509.24 and 317.00

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Solution

The fourth proportional to 369.27, 509.24 and 317.00 is: 437.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.27 : 509.24 = 317.00 : x
  2. Step 2: Convert to fraction form
    369.27/509.24 = 317.00/x
  3. Step 3: Cross multiply
    369.27x = 509.24 × 317.00
  4. Step 4: Simplify right side
    369.27x = 161,424.95
  5. Step 5: Solve for x
    x = 161,424.95/369.27
  6. Step 6: Final answer
    x = 437.15

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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.