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Finding the Fourth Proportional to 383.60, 529.56 and 290.24

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Solution

The fourth proportional to 383.60, 529.56 and 290.24 is: 400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.60 : 529.56 = 290.24 : x
  2. Step 2: Convert to fraction form
    383.60/529.56 = 290.24/x
  3. Step 3: Cross multiply
    383.60x = 529.56 × 290.24
  4. Step 4: Simplify right side
    383.60x = 153,699.49
  5. Step 5: Solve for x
    x = 153,699.49/383.60
  6. Step 6: Final answer
    x = 400.68

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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.