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Finding the Fourth Proportional to 719.51, 992.91 and 420.95

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Solution

The fourth proportional to 719.51, 992.91 and 420.95 is: 580.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.51 : 992.91 = 420.95 : x
  2. Step 2: Convert to fraction form
    719.51/992.91 = 420.95/x
  3. Step 3: Cross multiply
    719.51x = 992.91 × 420.95
  4. Step 4: Simplify right side
    719.51x = 417,960.50
  5. Step 5: Solve for x
    x = 417,960.50/719.51
  6. Step 6: Final answer
    x = 580.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.