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Finding the Fourth Proportional to 525.90, 723.90 and 463.50

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Solution

The fourth proportional to 525.90, 723.90 and 463.50 is: 638.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.90 : 723.90 = 463.50 : x
  2. Step 2: Convert to fraction form
    525.90/723.90 = 463.50/x
  3. Step 3: Cross multiply
    525.90x = 723.90 × 463.50
  4. Step 4: Simplify right side
    525.90x = 335,527.65
  5. Step 5: Solve for x
    x = 335,527.65/525.90
  6. Step 6: Final answer
    x = 638.01

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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.