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Finding the Fourth Proportional to 464.30, 697.80 and 404.90

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Solution

The fourth proportional to 464.30, 697.80 and 404.90 is: 608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.30 : 697.80 = 404.90 : x
  2. Step 2: Convert to fraction form
    464.30/697.80 = 404.90/x
  3. Step 3: Cross multiply
    464.30x = 697.80 × 404.90
  4. Step 4: Simplify right side
    464.30x = 282,539.22
  5. Step 5: Solve for x
    x = 282,539.22/464.30
  6. Step 6: Final answer
    x = 608.53

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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.