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Finding the Fourth Proportional to 500.90, 746.93 and 466.28

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Solution

The fourth proportional to 500.90, 746.93 and 466.28 is: 695.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.90 : 746.93 = 466.28 : x
  2. Step 2: Convert to fraction form
    500.90/746.93 = 466.28/x
  3. Step 3: Cross multiply
    500.90x = 746.93 × 466.28
  4. Step 4: Simplify right side
    500.90x = 348,272.45
  5. Step 5: Solve for x
    x = 348,272.45/500.90
  6. Step 6: Final answer
    x = 695.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.