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Finding the Fourth Proportional to 535.36, 805.77 and 456.08

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Solution

The fourth proportional to 535.36, 805.77 and 456.08 is: 686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.36 : 805.77 = 456.08 : x
  2. Step 2: Convert to fraction form
    535.36/805.77 = 456.08/x
  3. Step 3: Cross multiply
    535.36x = 805.77 × 456.08
  4. Step 4: Simplify right side
    535.36x = 367,497.37
  5. Step 5: Solve for x
    x = 367,497.37/535.36
  6. Step 6: Final answer
    x = 686.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.