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Finding the Fourth Proportional to 505.44, 756.57 and 348.35

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Solution

The fourth proportional to 505.44, 756.57 and 348.35 is: 521.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.44 : 756.57 = 348.35 : x
  2. Step 2: Convert to fraction form
    505.44/756.57 = 348.35/x
  3. Step 3: Cross multiply
    505.44x = 756.57 × 348.35
  4. Step 4: Simplify right side
    505.44x = 263,547.38
  5. Step 5: Solve for x
    x = 263,547.38/505.44
  6. Step 6: Final answer
    x = 521.42

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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.