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Finding the Fourth Proportional to 383.06, 570.98 and 353.90

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Solution

The fourth proportional to 383.06, 570.98 and 353.90 is: 527.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.06 : 570.98 = 353.90 : x
  2. Step 2: Convert to fraction form
    383.06/570.98 = 353.90/x
  3. Step 3: Cross multiply
    383.06x = 570.98 × 353.90
  4. Step 4: Simplify right side
    383.06x = 202,069.82
  5. Step 5: Solve for x
    x = 202,069.82/383.06
  6. Step 6: Final answer
    x = 527.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.