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Finding the Fourth Proportional to 504.51, 756.84 and 175.50

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Solution

The fourth proportional to 504.51, 756.84 and 175.50 is: 263.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.51 : 756.84 = 175.50 : x
  2. Step 2: Convert to fraction form
    504.51/756.84 = 175.50/x
  3. Step 3: Cross multiply
    504.51x = 756.84 × 175.50
  4. Step 4: Simplify right side
    504.51x = 132,825.42
  5. Step 5: Solve for x
    x = 132,825.42/504.51
  6. Step 6: Final answer
    x = 263.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.