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Finding the Fourth Proportional to 586.71, 808.85 and 420.63

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Solution

The fourth proportional to 586.71, 808.85 and 420.63 is: 579.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.71 : 808.85 = 420.63 : x
  2. Step 2: Convert to fraction form
    586.71/808.85 = 420.63/x
  3. Step 3: Cross multiply
    586.71x = 808.85 × 420.63
  4. Step 4: Simplify right side
    586.71x = 340,224.47
  5. Step 5: Solve for x
    x = 340,224.47/586.71
  6. Step 6: Final answer
    x = 579.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.