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Finding the Fourth Proportional to 526.25, 784.77 and 467.24

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Solution

The fourth proportional to 526.25, 784.77 and 467.24 is: 696.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.25 : 784.77 = 467.24 : x
  2. Step 2: Convert to fraction form
    526.25/784.77 = 467.24/x
  3. Step 3: Cross multiply
    526.25x = 784.77 × 467.24
  4. Step 4: Simplify right side
    526.25x = 366,675.93
  5. Step 5: Solve for x
    x = 366,675.93/526.25
  6. Step 6: Final answer
    x = 696.77

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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.