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Finding the Fourth Proportional to 586.95, 809.51 and 412.26

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Solution

The fourth proportional to 586.95, 809.51 and 412.26 is: 568.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.95 : 809.51 = 412.26 : x
  2. Step 2: Convert to fraction form
    586.95/809.51 = 412.26/x
  3. Step 3: Cross multiply
    586.95x = 809.51 × 412.26
  4. Step 4: Simplify right side
    586.95x = 333,726.53
  5. Step 5: Solve for x
    x = 333,726.53/586.95
  6. Step 6: Final answer
    x = 568.58

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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.