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Finding the Fourth Proportional to 586.18, 809.02 and 420.94

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Solution

The fourth proportional to 586.18, 809.02 and 420.94 is: 580.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.18 : 809.02 = 420.94 : x
  2. Step 2: Convert to fraction form
    586.18/809.02 = 420.94/x
  3. Step 3: Cross multiply
    586.18x = 809.02 × 420.94
  4. Step 4: Simplify right side
    586.18x = 340,550.42
  5. Step 5: Solve for x
    x = 340,550.42/586.18
  6. Step 6: Final answer
    x = 580.96

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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.