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Finding the Fourth Proportional to 525.04, 724.49 and 304.06

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Solution

The fourth proportional to 525.04, 724.49 and 304.06 is: 419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.04 : 724.49 = 304.06 : x
  2. Step 2: Convert to fraction form
    525.04/724.49 = 304.06/x
  3. Step 3: Cross multiply
    525.04x = 724.49 × 304.06
  4. Step 4: Simplify right side
    525.04x = 220,288.43
  5. Step 5: Solve for x
    x = 220,288.43/525.04
  6. Step 6: Final answer
    x = 419.57

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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.