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Finding the Fourth Proportional to 503.84, 695.30 and 377.58

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Solution

The fourth proportional to 503.84, 695.30 and 377.58 is: 521.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.84 : 695.30 = 377.58 : x
  2. Step 2: Convert to fraction form
    503.84/695.30 = 377.58/x
  3. Step 3: Cross multiply
    503.84x = 695.30 × 377.58
  4. Step 4: Simplify right side
    503.84x = 262,527.90
  5. Step 5: Solve for x
    x = 262,527.90/503.84
  6. Step 6: Final answer
    x = 521.06

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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.