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Finding the Fourth Proportional to 466.03, 693.71 and 459.10

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Solution

The fourth proportional to 466.03, 693.71 and 459.10 is: 683.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.03 : 693.71 = 459.10 : x
  2. Step 2: Convert to fraction form
    466.03/693.71 = 459.10/x
  3. Step 3: Cross multiply
    466.03x = 693.71 × 459.10
  4. Step 4: Simplify right side
    466.03x = 318,482.26
  5. Step 5: Solve for x
    x = 318,482.26/466.03
  6. Step 6: Final answer
    x = 683.39

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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.