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Finding the Fourth Proportional to 290.39, 437.58 and 240.16

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Solution

The fourth proportional to 290.39, 437.58 and 240.16 is: 361.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.39 : 437.58 = 240.16 : x
  2. Step 2: Convert to fraction form
    290.39/437.58 = 240.16/x
  3. Step 3: Cross multiply
    290.39x = 437.58 × 240.16
  4. Step 4: Simplify right side
    290.39x = 105,088.94
  5. Step 5: Solve for x
    x = 105,088.94/290.39
  6. Step 6: Final answer
    x = 361.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.