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Finding the Fourth Proportional to 585.92, 808.58 and 349.98

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Solution

The fourth proportional to 585.92, 808.58 and 349.98 is: 482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.92 : 808.58 = 349.98 : x
  2. Step 2: Convert to fraction form
    585.92/808.58 = 349.98/x
  3. Step 3: Cross multiply
    585.92x = 808.58 × 349.98
  4. Step 4: Simplify right side
    585.92x = 282,985.24
  5. Step 5: Solve for x
    x = 282,985.24/585.92
  6. Step 6: Final answer
    x = 482.97

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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.