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Finding the Fourth Proportional to 526.94, 790.41 and 283.74

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Solution

The fourth proportional to 526.94, 790.41 and 283.74 is: 425.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.94 : 790.41 = 283.74 : x
  2. Step 2: Convert to fraction form
    526.94/790.41 = 283.74/x
  3. Step 3: Cross multiply
    526.94x = 790.41 × 283.74
  4. Step 4: Simplify right side
    526.94x = 224,270.93
  5. Step 5: Solve for x
    x = 224,270.93/526.94
  6. Step 6: Final answer
    x = 425.61

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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.