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Finding the Fourth Proportional to 457.58, 684.96 and 370.10

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Solution

The fourth proportional to 457.58, 684.96 and 370.10 is: 554.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.58 : 684.96 = 370.10 : x
  2. Step 2: Convert to fraction form
    457.58/684.96 = 370.10/x
  3. Step 3: Cross multiply
    457.58x = 684.96 × 370.10
  4. Step 4: Simplify right side
    457.58x = 253,503.70
  5. Step 5: Solve for x
    x = 253,503.70/457.58
  6. Step 6: Final answer
    x = 554.01

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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.