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Finding the Fourth Proportional to 505.02, 756.30 and 468.56

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Solution

The fourth proportional to 505.02, 756.30 and 468.56 is: 701.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.02 : 756.30 = 468.56 : x
  2. Step 2: Convert to fraction form
    505.02/756.30 = 468.56/x
  3. Step 3: Cross multiply
    505.02x = 756.30 × 468.56
  4. Step 4: Simplify right side
    505.02x = 354,371.93
  5. Step 5: Solve for x
    x = 354,371.93/505.02
  6. Step 6: Final answer
    x = 701.70

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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.