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Finding the Fourth Proportional to 476.64, 714.24 and 260.10

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Solution

The fourth proportional to 476.64, 714.24 and 260.10 is: 389.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.64 : 714.24 = 260.10 : x
  2. Step 2: Convert to fraction form
    476.64/714.24 = 260.10/x
  3. Step 3: Cross multiply
    476.64x = 714.24 × 260.10
  4. Step 4: Simplify right side
    476.64x = 185,773.82
  5. Step 5: Solve for x
    x = 185,773.82/476.64
  6. Step 6: Final answer
    x = 389.76

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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.