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Finding the Fourth Proportional to 357.28, 492.56 and 264.08

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Solution

The fourth proportional to 357.28, 492.56 and 264.08 is: 364.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.28 : 492.56 = 264.08 : x
  2. Step 2: Convert to fraction form
    357.28/492.56 = 264.08/x
  3. Step 3: Cross multiply
    357.28x = 492.56 × 264.08
  4. Step 4: Simplify right side
    357.28x = 130,075.24
  5. Step 5: Solve for x
    x = 130,075.24/357.28
  6. Step 6: Final answer
    x = 364.07

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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.