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Finding the Fourth Proportional to 345.65, 476.82 and 320.94

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Solution

The fourth proportional to 345.65, 476.82 and 320.94 is: 442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.65 : 476.82 = 320.94 : x
  2. Step 2: Convert to fraction form
    345.65/476.82 = 320.94/x
  3. Step 3: Cross multiply
    345.65x = 476.82 × 320.94
  4. Step 4: Simplify right side
    345.65x = 153,030.61
  5. Step 5: Solve for x
    x = 153,030.61/345.65
  6. Step 6: Final answer
    x = 442.74

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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.