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Finding the Fourth Proportional to 452.90, 624.57 and 295.35

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Solution

The fourth proportional to 452.90, 624.57 and 295.35 is: 407.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.90 : 624.57 = 295.35 : x
  2. Step 2: Convert to fraction form
    452.90/624.57 = 295.35/x
  3. Step 3: Cross multiply
    452.90x = 624.57 × 295.35
  4. Step 4: Simplify right side
    452.90x = 184,466.75
  5. Step 5: Solve for x
    x = 184,466.75/452.90
  6. Step 6: Final answer
    x = 407.31

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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.