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Finding the Fourth Proportional to 473.07, 657.35 and 468.01

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Solution

The fourth proportional to 473.07, 657.35 and 468.01 is: 650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.07 : 657.35 = 468.01 : x
  2. Step 2: Convert to fraction form
    473.07/657.35 = 468.01/x
  3. Step 3: Cross multiply
    473.07x = 657.35 × 468.01
  4. Step 4: Simplify right side
    473.07x = 307,645.90
  5. Step 5: Solve for x
    x = 307,645.90/473.07
  6. Step 6: Final answer
    x = 650.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.