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Finding the Fourth Proportional to 567.02, 848.57 and 413.93

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Solution

The fourth proportional to 567.02, 848.57 and 413.93 is: 619.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.02 : 848.57 = 413.93 : x
  2. Step 2: Convert to fraction form
    567.02/848.57 = 413.93/x
  3. Step 3: Cross multiply
    567.02x = 848.57 × 413.93
  4. Step 4: Simplify right side
    567.02x = 351,248.58
  5. Step 5: Solve for x
    x = 351,248.58/567.02
  6. Step 6: Final answer
    x = 619.46

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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.