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Finding the Fourth Proportional to 452.51, 624.20 and 295.17

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Solution

The fourth proportional to 452.51, 624.20 and 295.17 is: 407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.51 : 624.20 = 295.17 : x
  2. Step 2: Convert to fraction form
    452.51/624.20 = 295.17/x
  3. Step 3: Cross multiply
    452.51x = 624.20 × 295.17
  4. Step 4: Simplify right side
    452.51x = 184,245.11
  5. Step 5: Solve for x
    x = 184,245.11/452.51
  6. Step 6: Final answer
    x = 407.16

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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.