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Finding the Fourth Proportional to 357.42, 533.37 and 354.72

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Solution

The fourth proportional to 357.42, 533.37 and 354.72 is: 529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.42 : 533.37 = 354.72 : x
  2. Step 2: Convert to fraction form
    357.42/533.37 = 354.72/x
  3. Step 3: Cross multiply
    357.42x = 533.37 × 354.72
  4. Step 4: Simplify right side
    357.42x = 189,197.01
  5. Step 5: Solve for x
    x = 189,197.01/357.42
  6. Step 6: Final answer
    x = 529.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.