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Finding the Fourth Proportional to 590.14, 882.99 and 530.26

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Solution

The fourth proportional to 590.14, 882.99 and 530.26 is: 793.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.14 : 882.99 = 530.26 : x
  2. Step 2: Convert to fraction form
    590.14/882.99 = 530.26/x
  3. Step 3: Cross multiply
    590.14x = 882.99 × 530.26
  4. Step 4: Simplify right side
    590.14x = 468,214.28
  5. Step 5: Solve for x
    x = 468,214.28/590.14
  6. Step 6: Final answer
    x = 793.40

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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.