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Finding the Fourth Proportional to 585.84, 808.01 and 522.88

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Solution

The fourth proportional to 585.84, 808.01 and 522.88 is: 721.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.84 : 808.01 = 522.88 : x
  2. Step 2: Convert to fraction form
    585.84/808.01 = 522.88/x
  3. Step 3: Cross multiply
    585.84x = 808.01 × 522.88
  4. Step 4: Simplify right side
    585.84x = 422,492.27
  5. Step 5: Solve for x
    x = 422,492.27/585.84
  6. Step 6: Final answer
    x = 721.17

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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.