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Finding the Fourth Proportional to 586.62, 808.34 and 584.34

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Solution

The fourth proportional to 586.62, 808.34 and 584.34 is: 805.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.62 : 808.34 = 584.34 : x
  2. Step 2: Convert to fraction form
    586.62/808.34 = 584.34/x
  3. Step 3: Cross multiply
    586.62x = 808.34 × 584.34
  4. Step 4: Simplify right side
    586.62x = 472,345.40
  5. Step 5: Solve for x
    x = 472,345.40/586.62
  6. Step 6: Final answer
    x = 805.20

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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.