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Finding the Fourth Proportional to 524.94, 723.51 and 384.86

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Solution

The fourth proportional to 524.94, 723.51 and 384.86 is: 530.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.94 : 723.51 = 384.86 : x
  2. Step 2: Convert to fraction form
    524.94/723.51 = 384.86/x
  3. Step 3: Cross multiply
    524.94x = 723.51 × 384.86
  4. Step 4: Simplify right side
    524.94x = 278,450.06
  5. Step 5: Solve for x
    x = 278,450.06/524.94
  6. Step 6: Final answer
    x = 530.44

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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.