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Finding the Fourth Proportional to 531.63, 796.64 and 429.57

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Solution

The fourth proportional to 531.63, 796.64 and 429.57 is: 643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.63 : 796.64 = 429.57 : x
  2. Step 2: Convert to fraction form
    531.63/796.64 = 429.57/x
  3. Step 3: Cross multiply
    531.63x = 796.64 × 429.57
  4. Step 4: Simplify right side
    531.63x = 342,210.50
  5. Step 5: Solve for x
    x = 342,210.50/531.63
  6. Step 6: Final answer
    x = 643.70

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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.