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Finding the Fourth Proportional to 562.16, 840.10 and 530.96

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Solution

The fourth proportional to 562.16, 840.10 and 530.96 is: 793.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.16 : 840.10 = 530.96 : x
  2. Step 2: Convert to fraction form
    562.16/840.10 = 530.96/x
  3. Step 3: Cross multiply
    562.16x = 840.10 × 530.96
  4. Step 4: Simplify right side
    562.16x = 446,059.50
  5. Step 5: Solve for x
    x = 446,059.50/562.16
  6. Step 6: Final answer
    x = 793.47

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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.