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Finding the Fourth Proportional to 345.23, 519.58 and 259.02

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Solution

The fourth proportional to 345.23, 519.58 and 259.02 is: 389.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.23 : 519.58 = 259.02 : x
  2. Step 2: Convert to fraction form
    345.23/519.58 = 259.02/x
  3. Step 3: Cross multiply
    345.23x = 519.58 × 259.02
  4. Step 4: Simplify right side
    345.23x = 134,580.32
  5. Step 5: Solve for x
    x = 134,580.32/345.23
  6. Step 6: Final answer
    x = 389.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.