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Finding the Fourth Proportional to 534.02, 800.57 and 436.52

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Solution

The fourth proportional to 534.02, 800.57 and 436.52 is: 654.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.02 : 800.57 = 436.52 : x
  2. Step 2: Convert to fraction form
    534.02/800.57 = 436.52/x
  3. Step 3: Cross multiply
    534.02x = 800.57 × 436.52
  4. Step 4: Simplify right side
    534.02x = 349,458.63
  5. Step 5: Solve for x
    x = 349,458.63/534.02
  6. Step 6: Final answer
    x = 654.40

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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.