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Finding the Fourth Proportional to 534.66, 737.55 and 360.06

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Solution

The fourth proportional to 534.66, 737.55 and 360.06 is: 496.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.66 : 737.55 = 360.06 : x
  2. Step 2: Convert to fraction form
    534.66/737.55 = 360.06/x
  3. Step 3: Cross multiply
    534.66x = 737.55 × 360.06
  4. Step 4: Simplify right side
    534.66x = 265,562.25
  5. Step 5: Solve for x
    x = 265,562.25/534.66
  6. Step 6: Final answer
    x = 496.69

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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.