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Finding the Fourth Proportional to 407.22, 560.28 and 358.01

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Solution

The fourth proportional to 407.22, 560.28 and 358.01 is: 492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.22 : 560.28 = 358.01 : x
  2. Step 2: Convert to fraction form
    407.22/560.28 = 358.01/x
  3. Step 3: Cross multiply
    407.22x = 560.28 × 358.01
  4. Step 4: Simplify right side
    407.22x = 200,585.84
  5. Step 5: Solve for x
    x = 200,585.84/407.22
  6. Step 6: Final answer
    x = 492.57

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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.