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Finding the Fourth Proportional to 526.58, 790.28 and 202.04

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Solution

The fourth proportional to 526.58, 790.28 and 202.04 is: 303.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.58 : 790.28 = 202.04 : x
  2. Step 2: Convert to fraction form
    526.58/790.28 = 202.04/x
  3. Step 3: Cross multiply
    526.58x = 790.28 × 202.04
  4. Step 4: Simplify right side
    526.58x = 159,663.21
  5. Step 5: Solve for x
    x = 159,663.21/526.58
  6. Step 6: Final answer
    x = 303.21

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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.