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Finding the Fourth Proportional to 526.30, 784.21 and 468.84

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Solution

The fourth proportional to 526.30, 784.21 and 468.84 is: 698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.30 : 784.21 = 468.84 : x
  2. Step 2: Convert to fraction form
    526.30/784.21 = 468.84/x
  3. Step 3: Cross multiply
    526.30x = 784.21 × 468.84
  4. Step 4: Simplify right side
    526.30x = 367,669.02
  5. Step 5: Solve for x
    x = 367,669.02/526.30
  6. Step 6: Final answer
    x = 698.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.