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Finding the Fourth Proportional to 585.93, 808.61 and 378.93

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Solution

The fourth proportional to 585.93, 808.61 and 378.93 is: 522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.93 : 808.61 = 378.93 : x
  2. Step 2: Convert to fraction form
    585.93/808.61 = 378.93/x
  3. Step 3: Cross multiply
    585.93x = 808.61 × 378.93
  4. Step 4: Simplify right side
    585.93x = 306,404.69
  5. Step 5: Solve for x
    x = 306,404.69/585.93
  6. Step 6: Final answer
    x = 522.94

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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.