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Finding the Fourth Proportional to 504.98, 753.82 and 468.94

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Solution

The fourth proportional to 504.98, 753.82 and 468.94 is: 700.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.98 : 753.82 = 468.94 : x
  2. Step 2: Convert to fraction form
    504.98/753.82 = 468.94/x
  3. Step 3: Cross multiply
    504.98x = 753.82 × 468.94
  4. Step 4: Simplify right side
    504.98x = 353,496.35
  5. Step 5: Solve for x
    x = 353,496.35/504.98
  6. Step 6: Final answer
    x = 700.02

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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.