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Finding the Fourth Proportional to 345.36, 520.14 and 314.64

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Solution

The fourth proportional to 345.36, 520.14 and 314.64 is: 473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.36 : 520.14 = 314.64 : x
  2. Step 2: Convert to fraction form
    345.36/520.14 = 314.64/x
  3. Step 3: Cross multiply
    345.36x = 520.14 × 314.64
  4. Step 4: Simplify right side
    345.36x = 163,656.85
  5. Step 5: Solve for x
    x = 163,656.85/345.36
  6. Step 6: Final answer
    x = 473.87

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Why These Related Problems?

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