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Finding the Fourth Proportional to 567.16, 848.76 and 491.08

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Solution

The fourth proportional to 567.16, 848.76 and 491.08 is: 734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.16 : 848.76 = 491.08 : x
  2. Step 2: Convert to fraction form
    567.16/848.76 = 491.08/x
  3. Step 3: Cross multiply
    567.16x = 848.76 × 491.08
  4. Step 4: Simplify right side
    567.16x = 416,809.06
  5. Step 5: Solve for x
    x = 416,809.06/567.16
  6. Step 6: Final answer
    x = 734.91

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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.