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Finding the Fourth Proportional to 582.61, 804.01 and 346.58

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Solution

The fourth proportional to 582.61, 804.01 and 346.58 is: 478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.61 : 804.01 = 346.58 : x
  2. Step 2: Convert to fraction form
    582.61/804.01 = 346.58/x
  3. Step 3: Cross multiply
    582.61x = 804.01 × 346.58
  4. Step 4: Simplify right side
    582.61x = 278,653.79
  5. Step 5: Solve for x
    x = 278,653.79/582.61
  6. Step 6: Final answer
    x = 478.29

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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.