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Finding the Fourth Proportional to 645.52, 890.58 and 383.32

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Solution

The fourth proportional to 645.52, 890.58 and 383.32 is: 528.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.52 : 890.58 = 383.32 : x
  2. Step 2: Convert to fraction form
    645.52/890.58 = 383.32/x
  3. Step 3: Cross multiply
    645.52x = 890.58 × 383.32
  4. Step 4: Simplify right side
    645.52x = 341,377.13
  5. Step 5: Solve for x
    x = 341,377.13/645.52
  6. Step 6: Final answer
    x = 528.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.