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Finding the Fourth Proportional to 504.84, 695.58 and 378.29

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Solution

The fourth proportional to 504.84, 695.58 and 378.29 is: 521.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.84 : 695.58 = 378.29 : x
  2. Step 2: Convert to fraction form
    504.84/695.58 = 378.29/x
  3. Step 3: Cross multiply
    504.84x = 695.58 × 378.29
  4. Step 4: Simplify right side
    504.84x = 263,127.48
  5. Step 5: Solve for x
    x = 263,127.48/504.84
  6. Step 6: Final answer
    x = 521.21

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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.