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Finding the Fourth Proportional to 503.46, 695.73 and 428.76

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Solution

The fourth proportional to 503.46, 695.73 and 428.76 is: 592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.46 : 695.73 = 428.76 : x
  2. Step 2: Convert to fraction form
    503.46/695.73 = 428.76/x
  3. Step 3: Cross multiply
    503.46x = 695.73 × 428.76
  4. Step 4: Simplify right side
    503.46x = 298,301.19
  5. Step 5: Solve for x
    x = 298,301.19/503.46
  6. Step 6: Final answer
    x = 592.50

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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.