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Finding the Fourth Proportional to 655.35, 904.35 and 356.58

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Solution

The fourth proportional to 655.35, 904.35 and 356.58 is: 492.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.35 : 904.35 = 356.58 : x
  2. Step 2: Convert to fraction form
    655.35/904.35 = 356.58/x
  3. Step 3: Cross multiply
    655.35x = 904.35 × 356.58
  4. Step 4: Simplify right side
    655.35x = 322,470.86
  5. Step 5: Solve for x
    x = 322,470.86/655.35
  6. Step 6: Final answer
    x = 492.06

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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.