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Finding the Fourth Proportional to 523.48, 722.36 and 302.52

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Solution

The fourth proportional to 523.48, 722.36 and 302.52 is: 417.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.48 : 722.36 = 302.52 : x
  2. Step 2: Convert to fraction form
    523.48/722.36 = 302.52/x
  3. Step 3: Cross multiply
    523.48x = 722.36 × 302.52
  4. Step 4: Simplify right side
    523.48x = 218,528.35
  5. Step 5: Solve for x
    x = 218,528.35/523.48
  6. Step 6: Final answer
    x = 417.45

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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.