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Finding the Fourth Proportional to 560.08, 840.48 and 466.48

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Solution

The fourth proportional to 560.08, 840.48 and 466.48 is: 700.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.08 : 840.48 = 466.48 : x
  2. Step 2: Convert to fraction form
    560.08/840.48 = 466.48/x
  3. Step 3: Cross multiply
    560.08x = 840.48 × 466.48
  4. Step 4: Simplify right side
    560.08x = 392,067.11
  5. Step 5: Solve for x
    x = 392,067.11/560.08
  6. Step 6: Final answer
    x = 700.02

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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.