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Finding the Fourth Proportional to 637.51, 956.14 and 290.74

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Solution

The fourth proportional to 637.51, 956.14 and 290.74 is: 436.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.51 : 956.14 = 290.74 : x
  2. Step 2: Convert to fraction form
    637.51/956.14 = 290.74/x
  3. Step 3: Cross multiply
    637.51x = 956.14 × 290.74
  4. Step 4: Simplify right side
    637.51x = 277,988.14
  5. Step 5: Solve for x
    x = 277,988.14/637.51
  6. Step 6: Final answer
    x = 436.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.