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Finding the Fourth Proportional to 383.67, 530.01 and 290.79

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Solution

The fourth proportional to 383.67, 530.01 and 290.79 is: 401.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.67 : 530.01 = 290.79 : x
  2. Step 2: Convert to fraction form
    383.67/530.01 = 290.79/x
  3. Step 3: Cross multiply
    383.67x = 530.01 × 290.79
  4. Step 4: Simplify right side
    383.67x = 154,121.61
  5. Step 5: Solve for x
    x = 154,121.61/383.67
  6. Step 6: Final answer
    x = 401.70

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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.