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Finding the Fourth Proportional to 565.03, 841.24 and 556.93

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Solution

The fourth proportional to 565.03, 841.24 and 556.93 is: 829.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.03 : 841.24 = 556.93 : x
  2. Step 2: Convert to fraction form
    565.03/841.24 = 556.93/x
  3. Step 3: Cross multiply
    565.03x = 841.24 × 556.93
  4. Step 4: Simplify right side
    565.03x = 468,511.79
  5. Step 5: Solve for x
    x = 468,511.79/565.03
  6. Step 6: Final answer
    x = 829.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.