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Finding the Fourth Proportional to 525.33, 723.11 and 463.32

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Solution

The fourth proportional to 525.33, 723.11 and 463.32 is: 637.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.33 : 723.11 = 463.32 : x
  2. Step 2: Convert to fraction form
    525.33/723.11 = 463.32/x
  3. Step 3: Cross multiply
    525.33x = 723.11 × 463.32
  4. Step 4: Simplify right side
    525.33x = 335,029.01
  5. Step 5: Solve for x
    x = 335,029.01/525.33
  6. Step 6: Final answer
    x = 637.75

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1.5x scale

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.