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Finding the Fourth Proportional to 526.98, 788.89 and 362.10

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Solution

The fourth proportional to 526.98, 788.89 and 362.10 is: 542.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.98 : 788.89 = 362.10 : x
  2. Step 2: Convert to fraction form
    526.98/788.89 = 362.10/x
  3. Step 3: Cross multiply
    526.98x = 788.89 × 362.10
  4. Step 4: Simplify right side
    526.98x = 285,657.07
  5. Step 5: Solve for x
    x = 285,657.07/526.98
  6. Step 6: Final answer
    x = 542.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.