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Finding the Fourth Proportional to 586.04, 809.06 and 406.84

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Solution

The fourth proportional to 586.04, 809.06 and 406.84 is: 561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.04 : 809.06 = 406.84 : x
  2. Step 2: Convert to fraction form
    586.04/809.06 = 406.84/x
  3. Step 3: Cross multiply
    586.04x = 809.06 × 406.84
  4. Step 4: Simplify right side
    586.04x = 329,157.97
  5. Step 5: Solve for x
    x = 329,157.97/586.04
  6. Step 6: Final answer
    x = 561.66

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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.