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Finding the Fourth Proportional to 460.50, 690.84 and 152.34

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Solution

The fourth proportional to 460.50, 690.84 and 152.34 is: 228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.50 : 690.84 = 152.34 : x
  2. Step 2: Convert to fraction form
    460.50/690.84 = 152.34/x
  3. Step 3: Cross multiply
    460.50x = 690.84 × 152.34
  4. Step 4: Simplify right side
    460.50x = 105,242.57
  5. Step 5: Solve for x
    x = 105,242.57/460.50
  6. Step 6: Final answer
    x = 228.54

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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.