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Finding the Fourth Proportional to 977.58, 1,466.72 and 430.16

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Solution

The fourth proportional to 977.58, 1,466.72 and 430.16 is: 645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.58 : 1,466.72 = 430.16 : x
  2. Step 2: Convert to fraction form
    977.58/1,466.72 = 430.16/x
  3. Step 3: Cross multiply
    977.58x = 1,466.72 × 430.16
  4. Step 4: Simplify right side
    977.58x = 630,914.79
  5. Step 5: Solve for x
    x = 630,914.79/977.58
  6. Step 6: Final answer
    x = 645.38

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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.