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Finding the Fourth Proportional to 508.01, 760.19 and 345.20

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Solution

The fourth proportional to 508.01, 760.19 and 345.20 is: 516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.01 : 760.19 = 345.20 : x
  2. Step 2: Convert to fraction form
    508.01/760.19 = 345.20/x
  3. Step 3: Cross multiply
    508.01x = 760.19 × 345.20
  4. Step 4: Simplify right side
    508.01x = 262,412.06
  5. Step 5: Solve for x
    x = 262,412.06/508.01
  6. Step 6: Final answer
    x = 516.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.