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Finding the Fourth Proportional to 586.90, 808.95 and 420.85

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Solution

The fourth proportional to 586.90, 808.95 and 420.85 is: 580.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.90 : 808.95 = 420.85 : x
  2. Step 2: Convert to fraction form
    586.90/808.95 = 420.85/x
  3. Step 3: Cross multiply
    586.90x = 808.95 × 420.85
  4. Step 4: Simplify right side
    586.90x = 340,446.61
  5. Step 5: Solve for x
    x = 340,446.61/586.90
  6. Step 6: Final answer
    x = 580.08

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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.