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Finding the Fourth Proportional to 978.32, 1,466.40 and 430.22

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Solution

The fourth proportional to 978.32, 1,466.40 and 430.22 is: 644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.32 : 1,466.40 = 430.22 : x
  2. Step 2: Convert to fraction form
    978.32/1,466.40 = 430.22/x
  3. Step 3: Cross multiply
    978.32x = 1,466.40 × 430.22
  4. Step 4: Simplify right side
    978.32x = 630,874.61
  5. Step 5: Solve for x
    x = 630,874.61/978.32
  6. Step 6: Final answer
    x = 644.86

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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.