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Finding the Fourth Proportional to 506, 760.84 and 465.90

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Solution

The fourth proportional to 506, 760.84 and 465.90 is: 700.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    506 : 760.84 = 465.90 : x
  2. Step 2: Convert to fraction form
    506/760.84 = 465.90/x
  3. Step 3: Cross multiply
    506x = 760.84 × 465.90
  4. Step 4: Simplify right side
    506x = 354,475.36
  5. Step 5: Solve for x
    x = 354,475.36/506
  6. Step 6: Final answer
    x = 700.54

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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.