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Finding the Fourth Proportional to 510.40, 702.88 and 417.45

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Solution

The fourth proportional to 510.40, 702.88 and 417.45 is: 574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.40 : 702.88 = 417.45 : x
  2. Step 2: Convert to fraction form
    510.40/702.88 = 417.45/x
  3. Step 3: Cross multiply
    510.40x = 702.88 × 417.45
  4. Step 4: Simplify right side
    510.40x = 293,418.85
  5. Step 5: Solve for x
    x = 293,418.85/510.40
  6. Step 6: Final answer
    x = 574.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.