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Finding the Fourth Proportional to 529.04, 729.96 and 354.80

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Solution

The fourth proportional to 529.04, 729.96 and 354.80 is: 489.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.04 : 729.96 = 354.80 : x
  2. Step 2: Convert to fraction form
    529.04/729.96 = 354.80/x
  3. Step 3: Cross multiply
    529.04x = 729.96 × 354.80
  4. Step 4: Simplify right side
    529.04x = 258,989.81
  5. Step 5: Solve for x
    x = 258,989.81/529.04
  6. Step 6: Final answer
    x = 489.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.