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Finding the Fourth Proportional to 655.74, 904.99 and 376

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Solution

The fourth proportional to 655.74, 904.99 and 376 is: 518.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.74 : 904.99 = 376 : x
  2. Step 2: Convert to fraction form
    655.74/904.99 = 376/x
  3. Step 3: Cross multiply
    655.74x = 904.99 × 376
  4. Step 4: Simplify right side
    655.74x = 340,276.24
  5. Step 5: Solve for x
    x = 340,276.24/655.74
  6. Step 6: Final answer
    x = 518.92

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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.