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Finding the Fourth Proportional to 524.06, 784.30 and 328.98

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Solution

The fourth proportional to 524.06, 784.30 and 328.98 is: 492.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.06 : 784.30 = 328.98 : x
  2. Step 2: Convert to fraction form
    524.06/784.30 = 328.98/x
  3. Step 3: Cross multiply
    524.06x = 784.30 × 328.98
  4. Step 4: Simplify right side
    524.06x = 258,019.01
  5. Step 5: Solve for x
    x = 258,019.01/524.06
  6. Step 6: Final answer
    x = 492.35

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Why These Related Problems?

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