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Finding the Fourth Proportional to 670.99, 926.08 and 405.47

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Solution

The fourth proportional to 670.99, 926.08 and 405.47 is: 559.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.99 : 926.08 = 405.47 : x
  2. Step 2: Convert to fraction form
    670.99/926.08 = 405.47/x
  3. Step 3: Cross multiply
    670.99x = 926.08 × 405.47
  4. Step 4: Simplify right side
    670.99x = 375,495.61
  5. Step 5: Solve for x
    x = 375,495.61/670.99
  6. Step 6: Final answer
    x = 559.61

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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.