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Finding the Fourth Proportional to 572.84, 858.54 and 283.64

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Solution

The fourth proportional to 572.84, 858.54 and 283.64 is: 425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.84 : 858.54 = 283.64 : x
  2. Step 2: Convert to fraction form
    572.84/858.54 = 283.64/x
  3. Step 3: Cross multiply
    572.84x = 858.54 × 283.64
  4. Step 4: Simplify right side
    572.84x = 243,516.29
  5. Step 5: Solve for x
    x = 243,516.29/572.84
  6. Step 6: Final answer
    x = 425.10

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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.