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Finding the Fourth Proportional to 585.19, 807.67 and 336.51

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Solution

The fourth proportional to 585.19, 807.67 and 336.51 is: 464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.19 : 807.67 = 336.51 : x
  2. Step 2: Convert to fraction form
    585.19/807.67 = 336.51/x
  3. Step 3: Cross multiply
    585.19x = 807.67 × 336.51
  4. Step 4: Simplify right side
    585.19x = 271,788.19
  5. Step 5: Solve for x
    x = 271,788.19/585.19
  6. Step 6: Final answer
    x = 464.45

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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.