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Finding the Fourth Proportional to 526.67, 727.77 and 501.38

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Solution

The fourth proportional to 526.67, 727.77 and 501.38 is: 692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.67 : 727.77 = 501.38 : x
  2. Step 2: Convert to fraction form
    526.67/727.77 = 501.38/x
  3. Step 3: Cross multiply
    526.67x = 727.77 × 501.38
  4. Step 4: Simplify right side
    526.67x = 364,889.32
  5. Step 5: Solve for x
    x = 364,889.32/526.67
  6. Step 6: Final answer
    x = 692.82

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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.