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Finding the Fourth Proportional to 342.63, 473.04 and 259.74

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Solution

The fourth proportional to 342.63, 473.04 and 259.74 is: 358.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.63 : 473.04 = 259.74 : x
  2. Step 2: Convert to fraction form
    342.63/473.04 = 259.74/x
  3. Step 3: Cross multiply
    342.63x = 473.04 × 259.74
  4. Step 4: Simplify right side
    342.63x = 122,867.41
  5. Step 5: Solve for x
    x = 122,867.41/342.63
  6. Step 6: Final answer
    x = 358.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.