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Finding the Fourth Proportional to 532.99, 735.47 and 296.93

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Solution

The fourth proportional to 532.99, 735.47 and 296.93 is: 409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.99 : 735.47 = 296.93 : x
  2. Step 2: Convert to fraction form
    532.99/735.47 = 296.93/x
  3. Step 3: Cross multiply
    532.99x = 735.47 × 296.93
  4. Step 4: Simplify right side
    532.99x = 218,383.11
  5. Step 5: Solve for x
    x = 218,383.11/532.99
  6. Step 6: Final answer
    x = 409.73

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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.