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Finding the Fourth Proportional to 507.70, 761.91 and 458.74

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Solution

The fourth proportional to 507.70, 761.91 and 458.74 is: 688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.70 : 761.91 = 458.74 : x
  2. Step 2: Convert to fraction form
    507.70/761.91 = 458.74/x
  3. Step 3: Cross multiply
    507.70x = 761.91 × 458.74
  4. Step 4: Simplify right side
    507.70x = 349,518.59
  5. Step 5: Solve for x
    x = 349,518.59/507.70
  6. Step 6: Final answer
    x = 688.44

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