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Finding the Fourth Proportional to 531.63, 738.69 and 525.93

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Solution

The fourth proportional to 531.63, 738.69 and 525.93 is: 730.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.63 : 738.69 = 525.93 : x
  2. Step 2: Convert to fraction form
    531.63/738.69 = 525.93/x
  3. Step 3: Cross multiply
    531.63x = 738.69 × 525.93
  4. Step 4: Simplify right side
    531.63x = 388,499.23
  5. Step 5: Solve for x
    x = 388,499.23/531.63
  6. Step 6: Final answer
    x = 730.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.