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Finding the Fourth Proportional to 523.47, 722.54 and 346.46

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Solution

The fourth proportional to 523.47, 722.54 and 346.46 is: 478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.47 : 722.54 = 346.46 : x
  2. Step 2: Convert to fraction form
    523.47/722.54 = 346.46/x
  3. Step 3: Cross multiply
    523.47x = 722.54 × 346.46
  4. Step 4: Simplify right side
    523.47x = 250,327.67
  5. Step 5: Solve for x
    x = 250,327.67/523.47
  6. Step 6: Final answer
    x = 478.21

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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.