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Finding the Fourth Proportional to 719.84, 993.50 and 421.04

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Solution

The fourth proportional to 719.84, 993.50 and 421.04 is: 581.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.84 : 993.50 = 421.04 : x
  2. Step 2: Convert to fraction form
    719.84/993.50 = 421.04/x
  3. Step 3: Cross multiply
    719.84x = 993.50 × 421.04
  4. Step 4: Simplify right side
    719.84x = 418,303.24
  5. Step 5: Solve for x
    x = 418,303.24/719.84
  6. Step 6: Final answer
    x = 581.11

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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.