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Finding the Fourth Proportional to 572.40, 857.76 and 328.98

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Solution

The fourth proportional to 572.40, 857.76 and 328.98 is: 492.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.40 : 857.76 = 328.98 : x
  2. Step 2: Convert to fraction form
    572.40/857.76 = 328.98/x
  3. Step 3: Cross multiply
    572.40x = 857.76 × 328.98
  4. Step 4: Simplify right side
    572.40x = 282,185.88
  5. Step 5: Solve for x
    x = 282,185.88/572.40
  6. Step 6: Final answer
    x = 492.99

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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.