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Finding the Fourth Proportional to 524.55, 783.66 and 464.34

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Solution

The fourth proportional to 524.55, 783.66 and 464.34 is: 693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.55 : 783.66 = 464.34 : x
  2. Step 2: Convert to fraction form
    524.55/783.66 = 464.34/x
  3. Step 3: Cross multiply
    524.55x = 783.66 × 464.34
  4. Step 4: Simplify right side
    524.55x = 363,884.68
  5. Step 5: Solve for x
    x = 363,884.68/524.55
  6. Step 6: Final answer
    x = 693.71

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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.