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Finding the Fourth Proportional to 530.97, 799.58 and 463.31

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Solution

The fourth proportional to 530.97, 799.58 and 463.31 is: 697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.97 : 799.58 = 463.31 : x
  2. Step 2: Convert to fraction form
    530.97/799.58 = 463.31/x
  3. Step 3: Cross multiply
    530.97x = 799.58 × 463.31
  4. Step 4: Simplify right side
    530.97x = 370,447.10
  5. Step 5: Solve for x
    x = 370,447.10/530.97
  6. Step 6: Final answer
    x = 697.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.