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Finding the Fourth Proportional to 340.16, 507.26 and 337.08

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Solution

The fourth proportional to 340.16, 507.26 and 337.08 is: 502.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.16 : 507.26 = 337.08 : x
  2. Step 2: Convert to fraction form
    340.16/507.26 = 337.08/x
  3. Step 3: Cross multiply
    340.16x = 507.26 × 337.08
  4. Step 4: Simplify right side
    340.16x = 170,988.04
  5. Step 5: Solve for x
    x = 170,988.04/340.16
  6. Step 6: Final answer
    x = 502.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.