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Finding the Fourth Proportional to 556.02, 830.07 and 464.94

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Solution

The fourth proportional to 556.02, 830.07 and 464.94 is: 694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.02 : 830.07 = 464.94 : x
  2. Step 2: Convert to fraction form
    556.02/830.07 = 464.94/x
  3. Step 3: Cross multiply
    556.02x = 830.07 × 464.94
  4. Step 4: Simplify right side
    556.02x = 385,932.75
  5. Step 5: Solve for x
    x = 385,932.75/556.02
  6. Step 6: Final answer
    x = 694.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.