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Finding the Fourth Proportional to 405.67, 607.59 and 284.47

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Solution

The fourth proportional to 405.67, 607.59 and 284.47 is: 426.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.67 : 607.59 = 284.47 : x
  2. Step 2: Convert to fraction form
    405.67/607.59 = 284.47/x
  3. Step 3: Cross multiply
    405.67x = 607.59 × 284.47
  4. Step 4: Simplify right side
    405.67x = 172,841.13
  5. Step 5: Solve for x
    x = 172,841.13/405.67
  6. Step 6: Final answer
    x = 426.06

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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.