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Finding the Fourth Proportional to 652.64, 899.72 and 466.08

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Solution

The fourth proportional to 652.64, 899.72 and 466.08 is: 642.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.64 : 899.72 = 466.08 : x
  2. Step 2: Convert to fraction form
    652.64/899.72 = 466.08/x
  3. Step 3: Cross multiply
    652.64x = 899.72 × 466.08
  4. Step 4: Simplify right side
    652.64x = 419,341.50
  5. Step 5: Solve for x
    x = 419,341.50/652.64
  6. Step 6: Final answer
    x = 642.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.