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Finding the Fourth Proportional to 571.60, 858.30 and 328.60

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Solution

The fourth proportional to 571.60, 858.30 and 328.60 is: 493.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.60 : 858.30 = 328.60 : x
  2. Step 2: Convert to fraction form
    571.60/858.30 = 328.60/x
  3. Step 3: Cross multiply
    571.60x = 858.30 × 328.60
  4. Step 4: Simplify right side
    571.60x = 282,037.38
  5. Step 5: Solve for x
    x = 282,037.38/571.60
  6. Step 6: Final answer
    x = 493.42

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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.