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Finding the Fourth Proportional to 367.32, 507.10 and 257.16

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Solution

The fourth proportional to 367.32, 507.10 and 257.16 is: 355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.32 : 507.10 = 257.16 : x
  2. Step 2: Convert to fraction form
    367.32/507.10 = 257.16/x
  3. Step 3: Cross multiply
    367.32x = 507.10 × 257.16
  4. Step 4: Simplify right side
    367.32x = 130,405.84
  5. Step 5: Solve for x
    x = 130,405.84/367.32
  6. Step 6: Final answer
    x = 355.02

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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.