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Finding the Fourth Proportional to 468.45, 702.80 and 417.45

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Solution

The fourth proportional to 468.45, 702.80 and 417.45 is: 626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.45 : 702.80 = 417.45 : x
  2. Step 2: Convert to fraction form
    468.45/702.80 = 417.45/x
  3. Step 3: Cross multiply
    468.45x = 702.80 × 417.45
  4. Step 4: Simplify right side
    468.45x = 293,381.77
  5. Step 5: Solve for x
    x = 293,381.77/468.45
  6. Step 6: Final answer
    x = 626.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.