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Finding the Fourth Proportional to 585.19, 807.45 and 352.33

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Solution

The fourth proportional to 585.19, 807.45 and 352.33 is: 486.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.19 : 807.45 = 352.33 : x
  2. Step 2: Convert to fraction form
    585.19/807.45 = 352.33/x
  3. Step 3: Cross multiply
    585.19x = 807.45 × 352.33
  4. Step 4: Simplify right side
    585.19x = 284,488.86
  5. Step 5: Solve for x
    x = 284,488.86/585.19
  6. Step 6: Final answer
    x = 486.15

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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.