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Finding the Fourth Proportional to 632.10, 948.15 and 596.10

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Solution

The fourth proportional to 632.10, 948.15 and 596.10 is: 894.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.10 : 948.15 = 596.10 : x
  2. Step 2: Convert to fraction form
    632.10/948.15 = 596.10/x
  3. Step 3: Cross multiply
    632.10x = 948.15 × 596.10
  4. Step 4: Simplify right side
    632.10x = 565,192.22
  5. Step 5: Solve for x
    x = 565,192.22/632.10
  6. Step 6: Final answer
    x = 894.15

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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.