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Finding the Fourth Proportional to 526.20, 785.63 and 474.36

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Solution

The fourth proportional to 526.20, 785.63 and 474.36 is: 708.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.20 : 785.63 = 474.36 : x
  2. Step 2: Convert to fraction form
    526.20/785.63 = 474.36/x
  3. Step 3: Cross multiply
    526.20x = 785.63 × 474.36
  4. Step 4: Simplify right side
    526.20x = 372,669.08
  5. Step 5: Solve for x
    x = 372,669.08/526.20
  6. Step 6: Final answer
    x = 708.23

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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.