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Finding the Fourth Proportional to 504.28, 751.01 and 468.64

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Solution

The fourth proportional to 504.28, 751.01 and 468.64 is: 697.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.28 : 751.01 = 468.64 : x
  2. Step 2: Convert to fraction form
    504.28/751.01 = 468.64/x
  3. Step 3: Cross multiply
    504.28x = 751.01 × 468.64
  4. Step 4: Simplify right side
    504.28x = 351,953.33
  5. Step 5: Solve for x
    x = 351,953.33/504.28
  6. Step 6: Final answer
    x = 697.93

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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.