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Finding the Fourth Proportional to 526.95, 727.00 and 402.41

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Solution

The fourth proportional to 526.95, 727.00 and 402.41 is: 555.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.95 : 727.00 = 402.41 : x
  2. Step 2: Convert to fraction form
    526.95/727.00 = 402.41/x
  3. Step 3: Cross multiply
    526.95x = 727.00 × 402.41
  4. Step 4: Simplify right side
    526.95x = 292,552.88
  5. Step 5: Solve for x
    x = 292,552.88/526.95
  6. Step 6: Final answer
    x = 555.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.