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Finding the Fourth Proportional to 645.59, 968.54 and 353.01

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Solution

The fourth proportional to 645.59, 968.54 and 353.01 is: 529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.59 : 968.54 = 353.01 : x
  2. Step 2: Convert to fraction form
    645.59/968.54 = 353.01/x
  3. Step 3: Cross multiply
    645.59x = 968.54 × 353.01
  4. Step 4: Simplify right side
    645.59x = 341,904.31
  5. Step 5: Solve for x
    x = 341,904.31/645.59
  6. Step 6: Final answer
    x = 529.60

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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.