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Finding the Fourth Proportional to 526.91, 790.70 and 253.01

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Solution

The fourth proportional to 526.91, 790.70 and 253.01 is: 379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.91 : 790.70 = 253.01 : x
  2. Step 2: Convert to fraction form
    526.91/790.70 = 253.01/x
  3. Step 3: Cross multiply
    526.91x = 790.70 × 253.01
  4. Step 4: Simplify right side
    526.91x = 200,055.72
  5. Step 5: Solve for x
    x = 200,055.72/526.91
  6. Step 6: Final answer
    x = 379.68

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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.