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Finding the Fourth Proportional to 409.32, 564.93 and 310.89

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Solution

The fourth proportional to 409.32, 564.93 and 310.89 is: 429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.32 : 564.93 = 310.89 : x
  2. Step 2: Convert to fraction form
    409.32/564.93 = 310.89/x
  3. Step 3: Cross multiply
    409.32x = 564.93 × 310.89
  4. Step 4: Simplify right side
    409.32x = 175,631.09
  5. Step 5: Solve for x
    x = 175,631.09/409.32
  6. Step 6: Final answer
    x = 429.08

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Why These Related Problems?

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