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Finding the Fourth Proportional to 720.04, 993.62 and 409.64

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Solution

The fourth proportional to 720.04, 993.62 and 409.64 is: 565.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.04 : 993.62 = 409.64 : x
  2. Step 2: Convert to fraction form
    720.04/993.62 = 409.64/x
  3. Step 3: Cross multiply
    720.04x = 993.62 × 409.64
  4. Step 4: Simplify right side
    720.04x = 407,026.50
  5. Step 5: Solve for x
    x = 407,026.50/720.04
  6. Step 6: Final answer
    x = 565.28

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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.