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Finding the Fourth Proportional to 504.29, 756.66 and 342.24

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Solution

The fourth proportional to 504.29, 756.66 and 342.24 is: 513.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.29 : 756.66 = 342.24 : x
  2. Step 2: Convert to fraction form
    504.29/756.66 = 342.24/x
  3. Step 3: Cross multiply
    504.29x = 756.66 × 342.24
  4. Step 4: Simplify right side
    504.29x = 258,957.76
  5. Step 5: Solve for x
    x = 258,957.76/504.29
  6. Step 6: Final answer
    x = 513.51

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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.