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Finding the Fourth Proportional to 526.64, 726.77 and 293.77

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Solution

The fourth proportional to 526.64, 726.77 and 293.77 is: 405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.64 : 726.77 = 293.77 : x
  2. Step 2: Convert to fraction form
    526.64/726.77 = 293.77/x
  3. Step 3: Cross multiply
    526.64x = 726.77 × 293.77
  4. Step 4: Simplify right side
    526.64x = 213,499.13
  5. Step 5: Solve for x
    x = 213,499.13/526.64
  6. Step 6: Final answer
    x = 405.40

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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.