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Finding the Fourth Proportional to 505.52, 758.28 and 289.16

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Solution

The fourth proportional to 505.52, 758.28 and 289.16 is: 433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.52 : 758.28 = 289.16 : x
  2. Step 2: Convert to fraction form
    505.52/758.28 = 289.16/x
  3. Step 3: Cross multiply
    505.52x = 758.28 × 289.16
  4. Step 4: Simplify right side
    505.52x = 219,264.24
  5. Step 5: Solve for x
    x = 219,264.24/505.52
  6. Step 6: Final answer
    x = 433.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.