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Finding the Fourth Proportional to 505.44, 753.12 and 484.56

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Solution

The fourth proportional to 505.44, 753.12 and 484.56 is: 722.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.44 : 753.12 = 484.56 : x
  2. Step 2: Convert to fraction form
    505.44/753.12 = 484.56/x
  3. Step 3: Cross multiply
    505.44x = 753.12 × 484.56
  4. Step 4: Simplify right side
    505.44x = 364,931.83
  5. Step 5: Solve for x
    x = 364,931.83/505.44
  6. Step 6: Final answer
    x = 722.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.