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Finding the Fourth Proportional to 585.68, 808.26 and 337.05

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Solution

The fourth proportional to 585.68, 808.26 and 337.05 is: 465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.68 : 808.26 = 337.05 : x
  2. Step 2: Convert to fraction form
    585.68/808.26 = 337.05/x
  3. Step 3: Cross multiply
    585.68x = 808.26 × 337.05
  4. Step 4: Simplify right side
    585.68x = 272,424.03
  5. Step 5: Solve for x
    x = 272,424.03/585.68
  6. Step 6: Final answer
    x = 465.14

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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.