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Finding the Fourth Proportional to 421.16, 632.06 and 292.06

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Solution

The fourth proportional to 421.16, 632.06 and 292.06 is: 438.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.16 : 632.06 = 292.06 : x
  2. Step 2: Convert to fraction form
    421.16/632.06 = 292.06/x
  3. Step 3: Cross multiply
    421.16x = 632.06 × 292.06
  4. Step 4: Simplify right side
    421.16x = 184,597.13
  5. Step 5: Solve for x
    x = 184,597.13/421.16
  6. Step 6: Final answer
    x = 438.31

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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.