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Finding the Fourth Proportional to 531.34, 792.95 and 465.16

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Solution

The fourth proportional to 531.34, 792.95 and 465.16 is: 694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.34 : 792.95 = 465.16 : x
  2. Step 2: Convert to fraction form
    531.34/792.95 = 465.16/x
  3. Step 3: Cross multiply
    531.34x = 792.95 × 465.16
  4. Step 4: Simplify right side
    531.34x = 368,848.62
  5. Step 5: Solve for x
    x = 368,848.62/531.34
  6. Step 6: Final answer
    x = 694.19

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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.