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Finding the Fourth Proportional to 370.01, 507.64 and 360.43

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Solution

The fourth proportional to 370.01, 507.64 and 360.43 is: 494.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.01 : 507.64 = 360.43 : x
  2. Step 2: Convert to fraction form
    370.01/507.64 = 360.43/x
  3. Step 3: Cross multiply
    370.01x = 507.64 × 360.43
  4. Step 4: Simplify right side
    370.01x = 182,966.15
  5. Step 5: Solve for x
    x = 182,966.15/370.01
  6. Step 6: Final answer
    x = 494.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.