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Finding the Fourth Proportional to 585.34, 808.73 and 461.94

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Solution

The fourth proportional to 585.34, 808.73 and 461.94 is: 638.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.34 : 808.73 = 461.94 : x
  2. Step 2: Convert to fraction form
    585.34/808.73 = 461.94/x
  3. Step 3: Cross multiply
    585.34x = 808.73 × 461.94
  4. Step 4: Simplify right side
    585.34x = 373,584.74
  5. Step 5: Solve for x
    x = 373,584.74/585.34
  6. Step 6: Final answer
    x = 638.24

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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.