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Finding the Fourth Proportional to 532.99, 735.09 and 400.51

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Solution

The fourth proportional to 532.99, 735.09 and 400.51 is: 552.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.99 : 735.09 = 400.51 : x
  2. Step 2: Convert to fraction form
    532.99/735.09 = 400.51/x
  3. Step 3: Cross multiply
    532.99x = 735.09 × 400.51
  4. Step 4: Simplify right side
    532.99x = 294,410.90
  5. Step 5: Solve for x
    x = 294,410.90/532.99
  6. Step 6: Final answer
    x = 552.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.