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Finding the Fourth Proportional to 531.93, 793.95 and 508.23

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Solution

The fourth proportional to 531.93, 793.95 and 508.23 is: 758.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.93 : 793.95 = 508.23 : x
  2. Step 2: Convert to fraction form
    531.93/793.95 = 508.23/x
  3. Step 3: Cross multiply
    531.93x = 793.95 × 508.23
  4. Step 4: Simplify right side
    531.93x = 403,509.21
  5. Step 5: Solve for x
    x = 403,509.21/531.93
  6. Step 6: Final answer
    x = 758.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.