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Finding the Fourth Proportional to 586.59, 808.66 and 420.74

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Solution

The fourth proportional to 586.59, 808.66 and 420.74 is: 580.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.59 : 808.66 = 420.74 : x
  2. Step 2: Convert to fraction form
    586.59/808.66 = 420.74/x
  3. Step 3: Cross multiply
    586.59x = 808.66 × 420.74
  4. Step 4: Simplify right side
    586.59x = 340,235.61
  5. Step 5: Solve for x
    x = 340,235.61/586.59
  6. Step 6: Final answer
    x = 580.02

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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.