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Finding the Fourth Proportional to 719.98, 993.48 and 458.14

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Solution

The fourth proportional to 719.98, 993.48 and 458.14 is: 632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.98 : 993.48 = 458.14 : x
  2. Step 2: Convert to fraction form
    719.98/993.48 = 458.14/x
  3. Step 3: Cross multiply
    719.98x = 993.48 × 458.14
  4. Step 4: Simplify right side
    719.98x = 455,152.93
  5. Step 5: Solve for x
    x = 455,152.93/719.98
  6. Step 6: Final answer
    x = 632.17

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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.