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Finding the Fourth Proportional to 526.99, 790.21 and 307.68

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Solution

The fourth proportional to 526.99, 790.21 and 307.68 is: 461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.99 : 790.21 = 307.68 : x
  2. Step 2: Convert to fraction form
    526.99/790.21 = 307.68/x
  3. Step 3: Cross multiply
    526.99x = 790.21 × 307.68
  4. Step 4: Simplify right side
    526.99x = 243,130.27
  5. Step 5: Solve for x
    x = 243,130.27/526.99
  6. Step 6: Final answer
    x = 461.36

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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.