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Finding the Fourth Proportional to 537.16, 805.90 and 309

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Solution

The fourth proportional to 537.16, 805.90 and 309 is: 463.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.16 : 805.90 = 309 : x
  2. Step 2: Convert to fraction form
    537.16/805.90 = 309/x
  3. Step 3: Cross multiply
    537.16x = 805.90 × 309
  4. Step 4: Simplify right side
    537.16x = 249,023.10
  5. Step 5: Solve for x
    x = 249,023.10/537.16
  6. Step 6: Final answer
    x = 463.59

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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.