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Finding the Fourth Proportional to 572.90, 858.58 and 418.10

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Solution

The fourth proportional to 572.90, 858.58 and 418.10 is: 626.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.90 : 858.58 = 418.10 : x
  2. Step 2: Convert to fraction form
    572.90/858.58 = 418.10/x
  3. Step 3: Cross multiply
    572.90x = 858.58 × 418.10
  4. Step 4: Simplify right side
    572.90x = 358,970.21
  5. Step 5: Solve for x
    x = 358,970.21/572.90
  6. Step 6: Final answer
    x = 626.58

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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.