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Finding the Fourth Proportional to 510.12, 764.48 and 235.60

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Solution

The fourth proportional to 510.12, 764.48 and 235.60 is: 353.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.12 : 764.48 = 235.60 : x
  2. Step 2: Convert to fraction form
    510.12/764.48 = 235.60/x
  3. Step 3: Cross multiply
    510.12x = 764.48 × 235.60
  4. Step 4: Simplify right side
    510.12x = 180,111.49
  5. Step 5: Solve for x
    x = 180,111.49/510.12
  6. Step 6: Final answer
    x = 353.08

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1.5x scale

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.