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Finding the Fourth Proportional to 523.09, 722.01 and 302.13

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Solution

The fourth proportional to 523.09, 722.01 and 302.13 is: 417.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.09 : 722.01 = 302.13 : x
  2. Step 2: Convert to fraction form
    523.09/722.01 = 302.13/x
  3. Step 3: Cross multiply
    523.09x = 722.01 × 302.13
  4. Step 4: Simplify right side
    523.09x = 218,140.88
  5. Step 5: Solve for x
    x = 218,140.88/523.09
  6. Step 6: Final answer
    x = 417.02

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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.