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Finding the Fourth Proportional to 466.95, 700.52 and 313.05

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Solution

The fourth proportional to 466.95, 700.52 and 313.05 is: 469.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.95 : 700.52 = 313.05 : x
  2. Step 2: Convert to fraction form
    466.95/700.52 = 313.05/x
  3. Step 3: Cross multiply
    466.95x = 700.52 × 313.05
  4. Step 4: Simplify right side
    466.95x = 219,296.22
  5. Step 5: Solve for x
    x = 219,296.22/466.95
  6. Step 6: Final answer
    x = 469.64

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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.