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Finding the Fourth Proportional to 314.08, 468.13 and 308.01

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Solution

The fourth proportional to 314.08, 468.13 and 308.01 is: 459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.08 : 468.13 = 308.01 : x
  2. Step 2: Convert to fraction form
    314.08/468.13 = 308.01/x
  3. Step 3: Cross multiply
    314.08x = 468.13 × 308.01
  4. Step 4: Simplify right side
    314.08x = 144,188.72
  5. Step 5: Solve for x
    x = 144,188.72/314.08
  6. Step 6: Final answer
    x = 459.08

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Why These Related Problems?

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