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Finding the Fourth Proportional to 586.60, 808.62 and 421.16

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Solution

The fourth proportional to 586.60, 808.62 and 421.16 is: 580.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.60 : 808.62 = 421.16 : x
  2. Step 2: Convert to fraction form
    586.60/808.62 = 421.16/x
  3. Step 3: Cross multiply
    586.60x = 808.62 × 421.16
  4. Step 4: Simplify right side
    586.60x = 340,558.40
  5. Step 5: Solve for x
    x = 340,558.40/586.60
  6. Step 6: Final answer
    x = 580.56

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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.