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Finding the Fourth Proportional to 464.40, 697.14 and 368.28

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Solution

The fourth proportional to 464.40, 697.14 and 368.28 is: 552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.40 : 697.14 = 368.28 : x
  2. Step 2: Convert to fraction form
    464.40/697.14 = 368.28/x
  3. Step 3: Cross multiply
    464.40x = 697.14 × 368.28
  4. Step 4: Simplify right side
    464.40x = 256,742.72
  5. Step 5: Solve for x
    x = 256,742.72/464.40
  6. Step 6: Final answer
    x = 552.85

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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.