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Finding the Fourth Proportional to 554.21, 830.39 and 457.01

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Solution

The fourth proportional to 554.21, 830.39 and 457.01 is: 684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.21 : 830.39 = 457.01 : x
  2. Step 2: Convert to fraction form
    554.21/830.39 = 457.01/x
  3. Step 3: Cross multiply
    554.21x = 830.39 × 457.01
  4. Step 4: Simplify right side
    554.21x = 379,490.10
  5. Step 5: Solve for x
    x = 379,490.10/554.21
  6. Step 6: Final answer
    x = 684.75

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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.