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Finding the Fourth Proportional to 570.02, 853.07 and 416.93

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Solution

The fourth proportional to 570.02, 853.07 and 416.93 is: 623.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.02 : 853.07 = 416.93 : x
  2. Step 2: Convert to fraction form
    570.02/853.07 = 416.93/x
  3. Step 3: Cross multiply
    570.02x = 853.07 × 416.93
  4. Step 4: Simplify right side
    570.02x = 355,670.48
  5. Step 5: Solve for x
    x = 355,670.48/570.02
  6. Step 6: Final answer
    x = 623.96

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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.