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Finding the Fourth Proportional to 523.78, 722.95 and 302.87

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Solution

The fourth proportional to 523.78, 722.95 and 302.87 is: 418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.78 : 722.95 = 302.87 : x
  2. Step 2: Convert to fraction form
    523.78/722.95 = 302.87/x
  3. Step 3: Cross multiply
    523.78x = 722.95 × 302.87
  4. Step 4: Simplify right side
    523.78x = 218,957.83
  5. Step 5: Solve for x
    x = 218,957.83/523.78
  6. Step 6: Final answer
    x = 418.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.