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Finding the Fourth Proportional to 532.83, 734.15 and 357.87

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Solution

The fourth proportional to 532.83, 734.15 and 357.87 is: 493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.83 : 734.15 = 357.87 : x
  2. Step 2: Convert to fraction form
    532.83/734.15 = 357.87/x
  3. Step 3: Cross multiply
    532.83x = 734.15 × 357.87
  4. Step 4: Simplify right side
    532.83x = 262,728.47
  5. Step 5: Solve for x
    x = 262,728.47/532.83
  6. Step 6: Final answer
    x = 493.08

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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.