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Finding the Fourth Proportional to 574, 859.56 and 313.20

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Solution

The fourth proportional to 574, 859.56 and 313.20 is: 469.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    574 : 859.56 = 313.20 : x
  2. Step 2: Convert to fraction form
    574/859.56 = 313.20/x
  3. Step 3: Cross multiply
    574x = 859.56 × 313.20
  4. Step 4: Simplify right side
    574x = 269,214.19
  5. Step 5: Solve for x
    x = 269,214.19/574
  6. Step 6: Final answer
    x = 469.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.