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Finding the Fourth Proportional to 655.87, 904.87 and 419.86

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Solution

The fourth proportional to 655.87, 904.87 and 419.86 is: 579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.87 : 904.87 = 419.86 : x
  2. Step 2: Convert to fraction form
    655.87/904.87 = 419.86/x
  3. Step 3: Cross multiply
    655.87x = 904.87 × 419.86
  4. Step 4: Simplify right side
    655.87x = 379,914.19
  5. Step 5: Solve for x
    x = 379,914.19/655.87
  6. Step 6: Final answer
    x = 579.25

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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.