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Finding the Fourth Proportional to 526.01, 725.94 and 290.00

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Solution

The fourth proportional to 526.01, 725.94 and 290.00 is: 400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.01 : 725.94 = 290.00 : x
  2. Step 2: Convert to fraction form
    526.01/725.94 = 290.00/x
  3. Step 3: Cross multiply
    526.01x = 725.94 × 290.00
  4. Step 4: Simplify right side
    526.01x = 210,524.41
  5. Step 5: Solve for x
    x = 210,524.41/526.01
  6. Step 6: Final answer
    x = 400.23

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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.