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Finding the Fourth Proportional to 347.60, 519.06 and 302.06

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Solution

The fourth proportional to 347.60, 519.06 and 302.06 is: 451.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.60 : 519.06 = 302.06 : x
  2. Step 2: Convert to fraction form
    347.60/519.06 = 302.06/x
  3. Step 3: Cross multiply
    347.60x = 519.06 × 302.06
  4. Step 4: Simplify right side
    347.60x = 156,785.75
  5. Step 5: Solve for x
    x = 156,785.75/347.60
  6. Step 6: Final answer
    x = 451.05

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