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Finding the Fourth Proportional to 553.63, 829.88 and 348.34

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Solution

The fourth proportional to 553.63, 829.88 and 348.34 is: 522.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.63 : 829.88 = 348.34 : x
  2. Step 2: Convert to fraction form
    553.63/829.88 = 348.34/x
  3. Step 3: Cross multiply
    553.63x = 829.88 × 348.34
  4. Step 4: Simplify right side
    553.63x = 289,080.40
  5. Step 5: Solve for x
    x = 289,080.40/553.63
  6. Step 6: Final answer
    x = 522.15

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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.