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Finding the Fourth Proportional to 648.77, 972.84 and 302.02

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Solution

The fourth proportional to 648.77, 972.84 and 302.02 is: 452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.77 : 972.84 = 302.02 : x
  2. Step 2: Convert to fraction form
    648.77/972.84 = 302.02/x
  3. Step 3: Cross multiply
    648.77x = 972.84 × 302.02
  4. Step 4: Simplify right side
    648.77x = 293,817.79
  5. Step 5: Solve for x
    x = 293,817.79/648.77
  6. Step 6: Final answer
    x = 452.89

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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.