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Finding the Fourth Proportional to 531.37, 797.04 and 506.76

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Solution

The fourth proportional to 531.37, 797.04 and 506.76 is: 760.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.37 : 797.04 = 506.76 : x
  2. Step 2: Convert to fraction form
    531.37/797.04 = 506.76/x
  3. Step 3: Cross multiply
    531.37x = 797.04 × 506.76
  4. Step 4: Simplify right side
    531.37x = 403,907.99
  5. Step 5: Solve for x
    x = 403,907.99/531.37
  6. Step 6: Final answer
    x = 760.13

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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.