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Finding the Fourth Proportional to 632.04, 871.84 and 383.16

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Solution

The fourth proportional to 632.04, 871.84 and 383.16 is: 528.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.04 : 871.84 = 383.16 : x
  2. Step 2: Convert to fraction form
    632.04/871.84 = 383.16/x
  3. Step 3: Cross multiply
    632.04x = 871.84 × 383.16
  4. Step 4: Simplify right side
    632.04x = 334,054.21
  5. Step 5: Solve for x
    x = 334,054.21/632.04
  6. Step 6: Final answer
    x = 528.53

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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.