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Finding the Fourth Proportional to 585.68, 808.23 and 320.13

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Solution

The fourth proportional to 585.68, 808.23 and 320.13 is: 441.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.68 : 808.23 = 320.13 : x
  2. Step 2: Convert to fraction form
    585.68/808.23 = 320.13/x
  3. Step 3: Cross multiply
    585.68x = 808.23 × 320.13
  4. Step 4: Simplify right side
    585.68x = 258,738.67
  5. Step 5: Solve for x
    x = 258,738.67/585.68
  6. Step 6: Final answer
    x = 441.77

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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.