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Finding the Fourth Proportional to 537.99, 807.59 and 392.64

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Solution

The fourth proportional to 537.99, 807.59 and 392.64 is: 589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.99 : 807.59 = 392.64 : x
  2. Step 2: Convert to fraction form
    537.99/807.59 = 392.64/x
  3. Step 3: Cross multiply
    537.99x = 807.59 × 392.64
  4. Step 4: Simplify right side
    537.99x = 317,090.17
  5. Step 5: Solve for x
    x = 317,090.17/537.99
  6. Step 6: Final answer
    x = 589.40

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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.