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Finding the Fourth Proportional to 369.91, 509.33 and 317.46

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Solution

The fourth proportional to 369.91, 509.33 and 317.46 is: 437.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.91 : 509.33 = 317.46 : x
  2. Step 2: Convert to fraction form
    369.91/509.33 = 317.46/x
  3. Step 3: Cross multiply
    369.91x = 509.33 × 317.46
  4. Step 4: Simplify right side
    369.91x = 161,690.80
  5. Step 5: Solve for x
    x = 161,690.80/369.91
  6. Step 6: Final answer
    x = 437.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.