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Finding the Fourth Proportional to 374.80, 498.08 and 374.80

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Solution

The fourth proportional to 374.80, 498.08 and 374.80 is: 498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.80 : 498.08 = 374.80 : x
  2. Step 2: Convert to fraction form
    374.80/498.08 = 374.80/x
  3. Step 3: Cross multiply
    374.80x = 498.08 × 374.80
  4. Step 4: Simplify right side
    374.80x = 186,680.38
  5. Step 5: Solve for x
    x = 186,680.38/374.80
  6. Step 6: Final answer
    x = 498.08

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.