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Finding the Fourth Proportional to 524.64, 787.06 and 428.00

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Solution

The fourth proportional to 524.64, 787.06 and 428.00 is: 642.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.64 : 787.06 = 428.00 : x
  2. Step 2: Convert to fraction form
    524.64/787.06 = 428.00/x
  3. Step 3: Cross multiply
    524.64x = 787.06 × 428.00
  4. Step 4: Simplify right side
    524.64x = 336,861.90
  5. Step 5: Solve for x
    x = 336,861.90/524.64
  6. Step 6: Final answer
    x = 642.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.