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Finding the Fourth Proportional to 585.09, 807.53 and 349.07

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Solution

The fourth proportional to 585.09, 807.53 and 349.07 is: 481.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.09 : 807.53 = 349.07 : x
  2. Step 2: Convert to fraction form
    585.09/807.53 = 349.07/x
  3. Step 3: Cross multiply
    585.09x = 807.53 × 349.07
  4. Step 4: Simplify right side
    585.09x = 281,878.71
  5. Step 5: Solve for x
    x = 281,878.71/585.09
  6. Step 6: Final answer
    x = 481.77

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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.