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Finding the Fourth Proportional to 632.64, 873.90 and 507.84

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Solution

The fourth proportional to 632.64, 873.90 and 507.84 is: 701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.64 : 873.90 = 507.84 : x
  2. Step 2: Convert to fraction form
    632.64/873.90 = 507.84/x
  3. Step 3: Cross multiply
    632.64x = 873.90 × 507.84
  4. Step 4: Simplify right side
    632.64x = 443,801.38
  5. Step 5: Solve for x
    x = 443,801.38/632.64
  6. Step 6: Final answer
    x = 701.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.