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Finding the Fourth Proportional to 526.83, 790.74 and 283.53

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Solution

The fourth proportional to 526.83, 790.74 and 283.53 is: 425.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.83 : 790.74 = 283.53 : x
  2. Step 2: Convert to fraction form
    526.83/790.74 = 283.53/x
  3. Step 3: Cross multiply
    526.83x = 790.74 × 283.53
  4. Step 4: Simplify right side
    526.83x = 224,198.51
  5. Step 5: Solve for x
    x = 224,198.51/526.83
  6. Step 6: Final answer
    x = 425.56

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Why These Related Problems?

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