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Finding the Fourth Proportional to 977.30, 1,466.38 and 429.63

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Solution

The fourth proportional to 977.30, 1,466.38 and 429.63 is: 644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.30 : 1,466.38 = 429.63 : x
  2. Step 2: Convert to fraction form
    977.30/1,466.38 = 429.63/x
  3. Step 3: Cross multiply
    977.30x = 1,466.38 × 429.63
  4. Step 4: Simplify right side
    977.30x = 630,000.84
  5. Step 5: Solve for x
    x = 630,000.84/977.30
  6. Step 6: Final answer
    x = 644.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.