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Finding the Fourth Proportional to 504.84, 756.05 and 342.03

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Solution

The fourth proportional to 504.84, 756.05 and 342.03 is: 512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.84 : 756.05 = 342.03 : x
  2. Step 2: Convert to fraction form
    504.84/756.05 = 342.03/x
  3. Step 3: Cross multiply
    504.84x = 756.05 × 342.03
  4. Step 4: Simplify right side
    504.84x = 258,590.07
  5. Step 5: Solve for x
    x = 258,590.07/504.84
  6. Step 6: Final answer
    x = 512.22

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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.