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Finding the Fourth Proportional to 977.64, 1,466.64 and 430.21

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Solution

The fourth proportional to 977.64, 1,466.64 and 430.21 is: 645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.64 : 1,466.64 = 430.21 : x
  2. Step 2: Convert to fraction form
    977.64/1,466.64 = 430.21/x
  3. Step 3: Cross multiply
    977.64x = 1,466.64 × 430.21
  4. Step 4: Simplify right side
    977.64x = 630,963.41
  5. Step 5: Solve for x
    x = 630,963.41/977.64
  6. Step 6: Final answer
    x = 645.39

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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.