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Finding the Fourth Proportional to 526.65, 726.82 and 290.64

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Solution

The fourth proportional to 526.65, 726.82 and 290.64 is: 401.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.65 : 726.82 = 290.64 : x
  2. Step 2: Convert to fraction form
    526.65/726.82 = 290.64/x
  3. Step 3: Cross multiply
    526.65x = 726.82 × 290.64
  4. Step 4: Simplify right side
    526.65x = 211,242.24
  5. Step 5: Solve for x
    x = 211,242.24/526.65
  6. Step 6: Final answer
    x = 401.11

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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.