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Finding the Fourth Proportional to 586.60, 809.70 and 412.52

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Solution

The fourth proportional to 586.60, 809.70 and 412.52 is: 569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.60 : 809.70 = 412.52 : x
  2. Step 2: Convert to fraction form
    586.60/809.70 = 412.52/x
  3. Step 3: Cross multiply
    586.60x = 809.70 × 412.52
  4. Step 4: Simplify right side
    586.60x = 334,017.44
  5. Step 5: Solve for x
    x = 334,017.44/586.60
  6. Step 6: Final answer
    x = 569.41

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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.