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Finding the Fourth Proportional to 314.34, 470.61 and 259.98

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Solution

The fourth proportional to 314.34, 470.61 and 259.98 is: 389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.34 : 470.61 = 259.98 : x
  2. Step 2: Convert to fraction form
    314.34/470.61 = 259.98/x
  3. Step 3: Cross multiply
    314.34x = 470.61 × 259.98
  4. Step 4: Simplify right side
    314.34x = 122,349.19
  5. Step 5: Solve for x
    x = 122,349.19/314.34
  6. Step 6: Final answer
    x = 389.23

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Why These Related Problems?

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