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Finding the Fourth Proportional to 525.01, 723.43 and 431.45

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Solution

The fourth proportional to 525.01, 723.43 and 431.45 is: 594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.01 : 723.43 = 431.45 : x
  2. Step 2: Convert to fraction form
    525.01/723.43 = 431.45/x
  3. Step 3: Cross multiply
    525.01x = 723.43 × 431.45
  4. Step 4: Simplify right side
    525.01x = 312,123.87
  5. Step 5: Solve for x
    x = 312,123.87/525.01
  6. Step 6: Final answer
    x = 594.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.