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Finding the Fourth Proportional to 569.90, 786.76 and 384.37

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Solution

The fourth proportional to 569.90, 786.76 and 384.37 is: 530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.90 : 786.76 = 384.37 : x
  2. Step 2: Convert to fraction form
    569.90/786.76 = 384.37/x
  3. Step 3: Cross multiply
    569.90x = 786.76 × 384.37
  4. Step 4: Simplify right side
    569.90x = 302,404.01
  5. Step 5: Solve for x
    x = 302,404.01/569.90
  6. Step 6: Final answer
    x = 530.62

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Why These Related Problems?

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