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Finding the Fourth Proportional to 507.14, 700.60 and 401.89

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Solution

The fourth proportional to 507.14, 700.60 and 401.89 is: 555.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.14 : 700.60 = 401.89 : x
  2. Step 2: Convert to fraction form
    507.14/700.60 = 401.89/x
  3. Step 3: Cross multiply
    507.14x = 700.60 × 401.89
  4. Step 4: Simplify right side
    507.14x = 281,561.47
  5. Step 5: Solve for x
    x = 281,561.47/507.14
  6. Step 6: Final answer
    x = 555.20

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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.