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Finding the Fourth Proportional to 535, 736.14 and 403.48

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Solution

The fourth proportional to 535, 736.14 and 403.48 is: 555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    535 : 736.14 = 403.48 : x
  2. Step 2: Convert to fraction form
    535/736.14 = 403.48/x
  3. Step 3: Cross multiply
    535x = 736.14 × 403.48
  4. Step 4: Simplify right side
    535x = 297,017.77
  5. Step 5: Solve for x
    x = 297,017.77/535
  6. Step 6: Final answer
    x = 555.17

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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.